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Finding the Third Proportional to 366,930 and 516,717.56

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Solution

The third proportional to 366,930 and 516,717.56 is: 727,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,930 : 516,717.56 = 516,717.56 : x
  2. Step 2: Convert to fraction form
    366,930/516,717.56 = 516,717.56/x
  3. Step 3: Cross multiply
    366,930x = 516,717.56 × 516,717.56
  4. Step 4: Simplify right side
    366,930x = 266,997,039,395.94
  5. Step 5: Solve for x
    x = 266,997,039,395.94/366,930
  6. Step 6: Final answer
    x = 727,651.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.