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Finding the Third Proportional to 298,448 and 462,802

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Solution

The third proportional to 298,448 and 462,802 is: 717,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,448 : 462,802 = 462,802 : x
  2. Step 2: Convert to fraction form
    298,448/462,802 = 462,802/x
  3. Step 3: Cross multiply
    298,448x = 462,802 × 462,802
  4. Step 4: Simplify right side
    298,448x = 214,185,691,204
  5. Step 5: Solve for x
    x = 214,185,691,204/298,448
  6. Step 6: Final answer
    x = 717,665.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.