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Finding the Third Proportional to 297,465.75 and 453,169.13

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Solution

The third proportional to 297,465.75 and 453,169.13 is: 690,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,465.75 : 453,169.13 = 453,169.13 : x
  2. Step 2: Convert to fraction form
    297,465.75/453,169.13 = 453,169.13/x
  3. Step 3: Cross multiply
    297,465.75x = 453,169.13 × 453,169.13
  4. Step 4: Simplify right side
    297,465.75x = 205,362,255,853.27
  5. Step 5: Solve for x
    x = 205,362,255,853.27/297,465.75
  6. Step 6: Final answer
    x = 690,372.78

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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.