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Finding the Third Proportional to 360,553.50 and 560,496

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Solution

The third proportional to 360,553.50 and 560,496 is: 871,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,553.50 : 560,496 = 560,496 : x
  2. Step 2: Convert to fraction form
    360,553.50/560,496 = 560,496/x
  3. Step 3: Cross multiply
    360,553.50x = 560,496 × 560,496
  4. Step 4: Simplify right side
    360,553.50x = 314,155,766,016
  5. Step 5: Solve for x
    x = 314,155,766,016/360,553.50
  6. Step 6: Final answer
    x = 871,315.26

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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.