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Finding the Third Proportional to 367,031 and 516,856

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Solution

The third proportional to 367,031 and 516,856 is: 727,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,031 : 516,856 = 516,856 : x
  2. Step 2: Convert to fraction form
    367,031/516,856 = 516,856/x
  3. Step 3: Cross multiply
    367,031x = 516,856 × 516,856
  4. Step 4: Simplify right side
    367,031x = 267,140,124,736
  5. Step 5: Solve for x
    x = 267,140,124,736/367,031
  6. Step 6: Final answer
    x = 727,840.77

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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.