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Finding the Third Proportional to 360,731 and 560,745

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Solution

The third proportional to 360,731 and 560,745 is: 871,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,731 : 560,745 = 560,745 : x
  2. Step 2: Convert to fraction form
    360,731/560,745 = 560,745/x
  3. Step 3: Cross multiply
    360,731x = 560,745 × 560,745
  4. Step 4: Simplify right side
    360,731x = 314,434,955,025
  5. Step 5: Solve for x
    x = 314,434,955,025/360,731
  6. Step 6: Final answer
    x = 871,660.48

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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.