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Finding the Third Proportional to 366,933 and 516,720

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Solution

The third proportional to 366,933 and 516,720 is: 727,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,933 : 516,720 = 516,720 : x
  2. Step 2: Convert to fraction form
    366,933/516,720 = 516,720/x
  3. Step 3: Cross multiply
    366,933x = 516,720 × 516,720
  4. Step 4: Simplify right side
    366,933x = 266,999,558,400
  5. Step 5: Solve for x
    x = 266,999,558,400/366,933
  6. Step 6: Final answer
    x = 727,652.07

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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.