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Finding the Third Proportional to 297,529.25 and 453,265.25

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Solution

The third proportional to 297,529.25 and 453,265.25 is: 690,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,529.25 : 453,265.25 = 453,265.25 : x
  2. Step 2: Convert to fraction form
    297,529.25/453,265.25 = 453,265.25/x
  3. Step 3: Cross multiply
    297,529.25x = 453,265.25 × 453,265.25
  4. Step 4: Simplify right side
    297,529.25x = 205,449,386,857.56
  5. Step 5: Solve for x
    x = 205,449,386,857.56/297,529.25
  6. Step 6: Final answer
    x = 690,518.28

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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.