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Finding the Third Proportional to 514,016 and 791,040

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Solution

The third proportional to 514,016 and 791,040 is: 1,217,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,016 : 791,040 = 791,040 : x
  2. Step 2: Convert to fraction form
    514,016/791,040 = 791,040/x
  3. Step 3: Cross multiply
    514,016x = 791,040 × 791,040
  4. Step 4: Simplify right side
    514,016x = 625,744,281,600
  5. Step 5: Solve for x
    x = 625,744,281,600/514,016
  6. Step 6: Final answer
    x = 1,217,363.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.