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Finding the Third Proportional to 396,632.81 and 604,249.03

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Solution

The third proportional to 396,632.81 and 604,249.03 is: 920,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,632.81 : 604,249.03 = 604,249.03 : x
  2. Step 2: Convert to fraction form
    396,632.81/604,249.03 = 604,249.03/x
  3. Step 3: Cross multiply
    396,632.81x = 604,249.03 × 604,249.03
  4. Step 4: Simplify right side
    396,632.81x = 365,116,891,766.56
  5. Step 5: Solve for x
    x = 365,116,891,766.56/396,632.81
  6. Step 6: Final answer
    x = 920,541.32

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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.