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Finding the Third Proportional to 297,327.38 and 452,962.13

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Solution

The third proportional to 297,327.38 and 452,962.13 is: 690,063.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,327.38 : 452,962.13 = 452,962.13 : x
  2. Step 2: Convert to fraction form
    297,327.38/452,962.13 = 452,962.13/x
  3. Step 3: Cross multiply
    297,327.38x = 452,962.13 × 452,962.13
  4. Step 4: Simplify right side
    297,327.38x = 205,174,686,684.52
  5. Step 5: Solve for x
    x = 205,174,686,684.52/297,327.38
  6. Step 6: Final answer
    x = 690,063.22

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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.