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Finding the Third Proportional to 366,933.75 and 516,722.25

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Solution

The third proportional to 366,933.75 and 516,722.25 is: 727,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,933.75 : 516,722.25 = 516,722.25 : x
  2. Step 2: Convert to fraction form
    366,933.75/516,722.25 = 516,722.25/x
  3. Step 3: Cross multiply
    366,933.75x = 516,722.25 × 516,722.25
  4. Step 4: Simplify right side
    366,933.75x = 267,001,883,645.06
  5. Step 5: Solve for x
    x = 267,001,883,645.06/366,933.75
  6. Step 6: Final answer
    x = 727,656.92

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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.