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Finding the Third Proportional to 297,466 and 453,170

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Solution

The third proportional to 297,466 and 453,170 is: 690,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,466 : 453,170 = 453,170 : x
  2. Step 2: Convert to fraction form
    297,466/453,170 = 453,170/x
  3. Step 3: Cross multiply
    297,466x = 453,170 × 453,170
  4. Step 4: Simplify right side
    297,466x = 205,363,048,900
  5. Step 5: Solve for x
    x = 205,363,048,900/297,466
  6. Step 6: Final answer
    x = 690,374.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.