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Finding the Third Proportional to 366,513 and 516,127.50

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Solution

The third proportional to 366,513 and 516,127.50 is: 726,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,513 : 516,127.50 = 516,127.50 : x
  2. Step 2: Convert to fraction form
    366,513/516,127.50 = 516,127.50/x
  3. Step 3: Cross multiply
    366,513x = 516,127.50 × 516,127.50
  4. Step 4: Simplify right side
    366,513x = 266,387,596,256.25
  5. Step 5: Solve for x
    x = 266,387,596,256.25/366,513
  6. Step 6: Final answer
    x = 726,816.23

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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.