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Finding the Third Proportional to 313,773.75 and 687,447

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Solution

The third proportional to 313,773.75 and 687,447 is: 1,506,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,773.75 : 687,447 = 687,447 : x
  2. Step 2: Convert to fraction form
    313,773.75/687,447 = 687,447/x
  3. Step 3: Cross multiply
    313,773.75x = 687,447 × 687,447
  4. Step 4: Simplify right side
    313,773.75x = 472,583,377,809
  5. Step 5: Solve for x
    x = 472,583,377,809/313,773.75
  6. Step 6: Final answer
    x = 1,506,127.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.