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Finding the Third Proportional to 502,375 and 702,703

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Solution

The third proportional to 502,375 and 702,703 is: 982,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,375 : 702,703 = 702,703 : x
  2. Step 2: Convert to fraction form
    502,375/702,703 = 702,703/x
  3. Step 3: Cross multiply
    502,375x = 702,703 × 702,703
  4. Step 4: Simplify right side
    502,375x = 493,791,506,209
  5. Step 5: Solve for x
    x = 493,791,506,209/502,375
  6. Step 6: Final answer
    x = 982,914.17

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