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Finding the Third Proportional to 366,929.06 and 516,716.06

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Solution

The third proportional to 366,929.06 and 516,716.06 is: 727,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,929.06 : 516,716.06 = 516,716.06 : x
  2. Step 2: Convert to fraction form
    366,929.06/516,716.06 = 516,716.06/x
  3. Step 3: Cross multiply
    366,929.06x = 516,716.06 × 516,716.06
  4. Step 4: Simplify right side
    366,929.06x = 266,995,489,245.50
  5. Step 5: Solve for x
    x = 266,995,489,245.50/366,929.06
  6. Step 6: Final answer
    x = 727,648.79

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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.