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Finding the Third Proportional to 297,464.25 and 453,167.44

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Solution

The third proportional to 297,464.25 and 453,167.44 is: 690,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,464.25 : 453,167.44 = 453,167.44 : x
  2. Step 2: Convert to fraction form
    297,464.25/453,167.44 = 453,167.44/x
  3. Step 3: Cross multiply
    297,464.25x = 453,167.44 × 453,167.44
  4. Step 4: Simplify right side
    297,464.25x = 205,360,726,410.32
  5. Step 5: Solve for x
    x = 205,360,726,410.32/297,464.25
  6. Step 6: Final answer
    x = 690,371.12

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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.