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Finding the Third Proportional to 274,719,751.88 and 589,319,560.13

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Solution

The third proportional to 274,719,751.88 and 589,319,560.13 is: 1,264,188,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,719,751.88 : 589,319,560.13 = 589,319,560.13 : x
  2. Step 2: Convert to fraction form
    274,719,751.88/589,319,560.13 = 589,319,560.13/x
  3. Step 3: Cross multiply
    274,719,751.88x = 589,319,560.13 × 589,319,560.13
  4. Step 4: Simplify right side
    274,719,751.88x = 347,297,543,945,923,520
  5. Step 5: Solve for x
    x = 347,297,543,945,923,520/274,719,751.88
  6. Step 6: Final answer
    x = 1,264,188,474.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.