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Finding the Third Proportional to 360,660 and 560,652

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Solution

The third proportional to 360,660 and 560,652 is: 871,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,660 : 560,652 = 560,652 : x
  2. Step 2: Convert to fraction form
    360,660/560,652 = 560,652/x
  3. Step 3: Cross multiply
    360,660x = 560,652 × 560,652
  4. Step 4: Simplify right side
    360,660x = 314,330,665,104
  5. Step 5: Solve for x
    x = 314,330,665,104/360,660
  6. Step 6: Final answer
    x = 871,542.91

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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.