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Finding the Third Proportional to 457,518 and 660,031

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Solution

The third proportional to 457,518 and 660,031 is: 952,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,518 : 660,031 = 660,031 : x
  2. Step 2: Convert to fraction form
    457,518/660,031 = 660,031/x
  3. Step 3: Cross multiply
    457,518x = 660,031 × 660,031
  4. Step 4: Simplify right side
    457,518x = 435,640,920,961
  5. Step 5: Solve for x
    x = 435,640,920,961/457,518
  6. Step 6: Final answer
    x = 952,183.13

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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.