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Finding the Third Proportional to 367,041 and 516,871

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Solution

The third proportional to 367,041 and 516,871 is: 727,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,041 : 516,871 = 516,871 : x
  2. Step 2: Convert to fraction form
    367,041/516,871 = 516,871/x
  3. Step 3: Cross multiply
    367,041x = 516,871 × 516,871
  4. Step 4: Simplify right side
    367,041x = 267,155,630,641
  5. Step 5: Solve for x
    x = 267,155,630,641/367,041
  6. Step 6: Final answer
    x = 727,863.18

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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.