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Finding the Third Proportional to 313,593.38 and 471,096.56

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Solution

The third proportional to 313,593.38 and 471,096.56 is: 707,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,593.38 : 471,096.56 = 471,096.56 : x
  2. Step 2: Convert to fraction form
    313,593.38/471,096.56 = 471,096.56/x
  3. Step 3: Cross multiply
    313,593.38x = 471,096.56 × 471,096.56
  4. Step 4: Simplify right side
    313,593.38x = 221,931,971,199.32
  5. Step 5: Solve for x
    x = 221,931,971,199.32/313,593.38
  6. Step 6: Final answer
    x = 707,706.19

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Why These Related Problems?

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