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Finding the Third Proportional to 461,304 and 998,424

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Solution

The third proportional to 461,304 and 998,424 is: 2,160,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,304 : 998,424 = 998,424 : x
  2. Step 2: Convert to fraction form
    461,304/998,424 = 998,424/x
  3. Step 3: Cross multiply
    461,304x = 998,424 × 998,424
  4. Step 4: Simplify right side
    461,304x = 996,850,483,776
  5. Step 5: Solve for x
    x = 996,850,483,776/461,304
  6. Step 6: Final answer
    x = 2,160,940.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.