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Finding the Third Proportional to 457,512 and 660,022

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Solution

The third proportional to 457,512 and 660,022 is: 952,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,512 : 660,022 = 660,022 : x
  2. Step 2: Convert to fraction form
    457,512/660,022 = 660,022/x
  3. Step 3: Cross multiply
    457,512x = 660,022 × 660,022
  4. Step 4: Simplify right side
    457,512x = 435,629,040,484
  5. Step 5: Solve for x
    x = 435,629,040,484/457,512
  6. Step 6: Final answer
    x = 952,169.65

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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.