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Finding the Third Proportional to 360,730 and 560,744

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Solution

The third proportional to 360,730 and 560,744 is: 871,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,730 : 560,744 = 560,744 : x
  2. Step 2: Convert to fraction form
    360,730/560,744 = 560,744/x
  3. Step 3: Cross multiply
    360,730x = 560,744 × 560,744
  4. Step 4: Simplify right side
    360,730x = 314,433,833,536
  5. Step 5: Solve for x
    x = 314,433,833,536/360,730
  6. Step 6: Final answer
    x = 871,659.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.