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Finding the Third Proportional to 396,772 and 604,448

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Solution

The third proportional to 396,772 and 604,448 is: 920,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,772 : 604,448 = 604,448 : x
  2. Step 2: Convert to fraction form
    396,772/604,448 = 604,448/x
  3. Step 3: Cross multiply
    396,772x = 604,448 × 604,448
  4. Step 4: Simplify right side
    396,772x = 365,357,384,704
  5. Step 5: Solve for x
    x = 365,357,384,704/396,772
  6. Step 6: Final answer
    x = 920,824.52

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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.