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Finding the Third Proportional to 457,508 and 660,016

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Solution

The third proportional to 457,508 and 660,016 is: 952,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,508 : 660,016 = 660,016 : x
  2. Step 2: Convert to fraction form
    457,508/660,016 = 660,016/x
  3. Step 3: Cross multiply
    457,508x = 660,016 × 660,016
  4. Step 4: Simplify right side
    457,508x = 435,621,120,256
  5. Step 5: Solve for x
    x = 435,621,120,256/457,508
  6. Step 6: Final answer
    x = 952,160.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.