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Finding the Third Proportional to 366,933.38 and 516,722.63

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Solution

The third proportional to 366,933.38 and 516,722.63 is: 727,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,933.38 : 516,722.63 = 516,722.63 : x
  2. Step 2: Convert to fraction form
    366,933.38/516,722.63 = 516,722.63/x
  3. Step 3: Cross multiply
    366,933.38x = 516,722.63 × 516,722.63
  4. Step 4: Simplify right side
    366,933.38x = 267,002,271,186.89
  5. Step 5: Solve for x
    x = 267,002,271,186.89/366,933.38
  6. Step 6: Final answer
    x = 727,658.72

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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.