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Finding the Third Proportional to 297,464.75 and 453,168.25

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Solution

The third proportional to 297,464.75 and 453,168.25 is: 690,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,464.75 : 453,168.25 = 453,168.25 : x
  2. Step 2: Convert to fraction form
    297,464.75/453,168.25 = 453,168.25/x
  3. Step 3: Cross multiply
    297,464.75x = 453,168.25 × 453,168.25
  4. Step 4: Simplify right side
    297,464.75x = 205,361,462,808.06
  5. Step 5: Solve for x
    x = 205,361,462,808.06/297,464.75
  6. Step 6: Final answer
    x = 690,372.43

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