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Finding the Third Proportional to 297,467 and 453,171

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Solution

The third proportional to 297,467 and 453,171 is: 690,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,467 : 453,171 = 453,171 : x
  2. Step 2: Convert to fraction form
    297,467/453,171 = 453,171/x
  3. Step 3: Cross multiply
    297,467x = 453,171 × 453,171
  4. Step 4: Simplify right side
    297,467x = 205,363,955,241
  5. Step 5: Solve for x
    x = 205,363,955,241/297,467
  6. Step 6: Final answer
    x = 690,375.59

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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.