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Finding the Third Proportional to 480,721.50 and 713,670.75

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Solution

The third proportional to 480,721.50 and 713,670.75 is: 1,059,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,721.50 : 713,670.75 = 713,670.75 : x
  2. Step 2: Convert to fraction form
    480,721.50/713,670.75 = 713,670.75/x
  3. Step 3: Cross multiply
    480,721.50x = 713,670.75 × 713,670.75
  4. Step 4: Simplify right side
    480,721.50x = 509,325,939,405.56
  5. Step 5: Solve for x
    x = 509,325,939,405.56/480,721.50
  6. Step 6: Final answer
    x = 1,059,503.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.