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Finding the Third Proportional to 464,902 and 681,424

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Solution

The third proportional to 464,902 and 681,424 is: 998,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,902 : 681,424 = 681,424 : x
  2. Step 2: Convert to fraction form
    464,902/681,424 = 681,424/x
  3. Step 3: Cross multiply
    464,902x = 681,424 × 681,424
  4. Step 4: Simplify right side
    464,902x = 464,338,667,776
  5. Step 5: Solve for x
    x = 464,338,667,776/464,902
  6. Step 6: Final answer
    x = 998,788.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.