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Finding the Third Proportional to 360,668 and 560,664

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Solution

The third proportional to 360,668 and 560,664 is: 871,560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,668 : 560,664 = 560,664 : x
  2. Step 2: Convert to fraction form
    360,668/560,664 = 560,664/x
  3. Step 3: Cross multiply
    360,668x = 560,664 × 560,664
  4. Step 4: Simplify right side
    360,668x = 314,344,120,896
  5. Step 5: Solve for x
    x = 314,344,120,896/360,668
  6. Step 6: Final answer
    x = 871,560.88

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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.