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Finding the Third Proportional to 454,694 and 679,233

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Solution

The third proportional to 454,694 and 679,233 is: 1,014,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,694 : 679,233 = 679,233 : x
  2. Step 2: Convert to fraction form
    454,694/679,233 = 679,233/x
  3. Step 3: Cross multiply
    454,694x = 679,233 × 679,233
  4. Step 4: Simplify right side
    454,694x = 461,357,468,289
  5. Step 5: Solve for x
    x = 461,357,468,289/454,694
  6. Step 6: Final answer
    x = 1,014,654.84

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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.