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Finding the Third Proportional to 367,098 and 516,964

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Solution

The third proportional to 367,098 and 516,964 is: 728,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,098 : 516,964 = 516,964 : x
  2. Step 2: Convert to fraction form
    367,098/516,964 = 516,964/x
  3. Step 3: Cross multiply
    367,098x = 516,964 × 516,964
  4. Step 4: Simplify right side
    367,098x = 267,251,777,296
  5. Step 5: Solve for x
    x = 267,251,777,296/367,098
  6. Step 6: Final answer
    x = 728,012.08

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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.