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Finding the Third Proportional to 466,818 and 660,591

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Solution

The third proportional to 466,818 and 660,591 is: 934,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,818 : 660,591 = 660,591 : x
  2. Step 2: Convert to fraction form
    466,818/660,591 = 660,591/x
  3. Step 3: Cross multiply
    466,818x = 660,591 × 660,591
  4. Step 4: Simplify right side
    466,818x = 436,380,469,281
  5. Step 5: Solve for x
    x = 436,380,469,281/466,818
  6. Step 6: Final answer
    x = 934,797.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.