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Finding the Third Proportional to 262,853,520.50 and 560,888,625.50

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Solution

The third proportional to 262,853,520.50 and 560,888,625.50 is: 1,196,849,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,853,520.50 : 560,888,625.50 = 560,888,625.50 : x
  2. Step 2: Convert to fraction form
    262,853,520.50/560,888,625.50 = 560,888,625.50/x
  3. Step 3: Cross multiply
    262,853,520.50x = 560,888,625.50 × 560,888,625.50
  4. Step 4: Simplify right side
    262,853,520.50x = 314,596,050,215,279,232
  5. Step 5: Solve for x
    x = 314,596,050,215,279,232/262,853,520.50
  6. Step 6: Final answer
    x = 1,196,849,293.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.