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Finding the Third Proportional to 451,725 and 660,591

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Solution

The third proportional to 451,725 and 660,591 is: 966,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,725 : 660,591 = 660,591 : x
  2. Step 2: Convert to fraction form
    451,725/660,591 = 660,591/x
  3. Step 3: Cross multiply
    451,725x = 660,591 × 660,591
  4. Step 4: Simplify right side
    451,725x = 436,380,469,281
  5. Step 5: Solve for x
    x = 436,380,469,281/451,725
  6. Step 6: Final answer
    x = 966,031.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.