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Finding the Third Proportional to 317,227.50 and 686,727

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Solution

The third proportional to 317,227.50 and 686,727 is: 1,486,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,227.50 : 686,727 = 686,727 : x
  2. Step 2: Convert to fraction form
    317,227.50/686,727 = 686,727/x
  3. Step 3: Cross multiply
    317,227.50x = 686,727 × 686,727
  4. Step 4: Simplify right side
    317,227.50x = 471,593,972,529
  5. Step 5: Solve for x
    x = 471,593,972,529/317,227.50
  6. Step 6: Final answer
    x = 1,486,611.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.