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Finding the Third Proportional to 324,466 and 484,005

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Solution

The third proportional to 324,466 and 484,005 is: 721,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,466 : 484,005 = 484,005 : x
  2. Step 2: Convert to fraction form
    324,466/484,005 = 484,005/x
  3. Step 3: Cross multiply
    324,466x = 484,005 × 484,005
  4. Step 4: Simplify right side
    324,466x = 234,260,840,025
  5. Step 5: Solve for x
    x = 234,260,840,025/324,466
  6. Step 6: Final answer
    x = 721,988.87

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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.