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Finding the Third Proportional to 502,080.75 and 702,253.13

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Solution

The third proportional to 502,080.75 and 702,253.13 is: 982,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,080.75 : 702,253.13 = 702,253.13 : x
  2. Step 2: Convert to fraction form
    502,080.75/702,253.13 = 702,253.13/x
  3. Step 3: Cross multiply
    502,080.75x = 702,253.13 × 702,253.13
  4. Step 4: Simplify right side
    502,080.75x = 493,159,451,572.27
  5. Step 5: Solve for x
    x = 493,159,451,572.27/502,080.75
  6. Step 6: Final answer
    x = 982,231.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.