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Finding the Third Proportional to 297,458.79 and 453,159.25

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Solution

The third proportional to 297,458.79 and 453,159.25 is: 690,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,458.79 : 453,159.25 = 453,159.25 : x
  2. Step 2: Convert to fraction form
    297,458.79/453,159.25 = 453,159.25/x
  3. Step 3: Cross multiply
    297,458.79x = 453,159.25 × 453,159.25
  4. Step 4: Simplify right side
    297,458.79x = 205,353,302,320.26
  5. Step 5: Solve for x
    x = 205,353,302,320.26/297,458.79
  6. Step 6: Final answer
    x = 690,358.83

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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.