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Finding the Third Proportional to 360,571 and 560,523

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Solution

The third proportional to 360,571 and 560,523 is: 871,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,571 : 560,523 = 560,523 : x
  2. Step 2: Convert to fraction form
    360,571/560,523 = 560,523/x
  3. Step 3: Cross multiply
    360,571x = 560,523 × 560,523
  4. Step 4: Simplify right side
    360,571x = 314,186,033,529
  5. Step 5: Solve for x
    x = 314,186,033,529/360,571
  6. Step 6: Final answer
    x = 871,356.91

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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.