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Finding the Third Proportional to 366,929.25 and 516,716

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Solution

The third proportional to 366,929.25 and 516,716 is: 727,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,929.25 : 516,716 = 516,716 : x
  2. Step 2: Convert to fraction form
    366,929.25/516,716 = 516,716/x
  3. Step 3: Cross multiply
    366,929.25x = 516,716 × 516,716
  4. Step 4: Simplify right side
    366,929.25x = 266,995,424,656
  5. Step 5: Solve for x
    x = 266,995,424,656/366,929.25
  6. Step 6: Final answer
    x = 727,648.24

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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.