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Finding the Third Proportional to 324,435.38 and 483,964.88

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Solution

The third proportional to 324,435.38 and 483,964.88 is: 721,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,435.38 : 483,964.88 = 483,964.88 : x
  2. Step 2: Convert to fraction form
    324,435.38/483,964.88 = 483,964.88/x
  3. Step 3: Cross multiply
    324,435.38x = 483,964.88 × 483,964.88
  4. Step 4: Simplify right side
    324,435.38x = 234,222,000,233.77
  5. Step 5: Solve for x
    x = 234,222,000,233.77/324,435.38
  6. Step 6: Final answer
    x = 721,937.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.