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Finding the Third Proportional to 297,327 and 452,962

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Solution

The third proportional to 297,327 and 452,962 is: 690,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,327 : 452,962 = 452,962 : x
  2. Step 2: Convert to fraction form
    297,327/452,962 = 452,962/x
  3. Step 3: Cross multiply
    297,327x = 452,962 × 452,962
  4. Step 4: Simplify right side
    297,327x = 205,174,573,444
  5. Step 5: Solve for x
    x = 205,174,573,444/297,327
  6. Step 6: Final answer
    x = 690,063.71

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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.