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Finding the Third Proportional to 313,593.75 and 471,097.13

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Solution

The third proportional to 313,593.75 and 471,097.13 is: 707,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,593.75 : 471,097.13 = 471,097.13 : x
  2. Step 2: Convert to fraction form
    313,593.75/471,097.13 = 471,097.13/x
  3. Step 3: Cross multiply
    313,593.75x = 471,097.13 × 471,097.13
  4. Step 4: Simplify right side
    313,593.75x = 221,932,501,183.27
  5. Step 5: Solve for x
    x = 221,932,501,183.27/313,593.75
  6. Step 6: Final answer
    x = 707,707.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.