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Finding the Third Proportional to 367,044.75 and 516,884.63

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Solution

The third proportional to 367,044.75 and 516,884.63 is: 727,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,044.75 : 516,884.63 = 516,884.63 : x
  2. Step 2: Convert to fraction form
    367,044.75/516,884.63 = 516,884.63/x
  3. Step 3: Cross multiply
    367,044.75x = 516,884.63 × 516,884.63
  4. Step 4: Simplify right side
    367,044.75x = 267,169,715,561.39
  5. Step 5: Solve for x
    x = 267,169,715,561.39/367,044.75
  6. Step 6: Final answer
    x = 727,894.12

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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.