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Finding the Third Proportional to 360,608 and 560,571

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Solution

The third proportional to 360,608 and 560,571 is: 871,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,608 : 560,571 = 560,571 : x
  2. Step 2: Convert to fraction form
    360,608/560,571 = 560,571/x
  3. Step 3: Cross multiply
    360,608x = 560,571 × 560,571
  4. Step 4: Simplify right side
    360,608x = 314,239,846,041
  5. Step 5: Solve for x
    x = 314,239,846,041/360,608
  6. Step 6: Final answer
    x = 871,416.74

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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.