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Finding the Third Proportional to 454,704 and 679,244

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Solution

The third proportional to 454,704 and 679,244 is: 1,014,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,704 : 679,244 = 679,244 : x
  2. Step 2: Convert to fraction form
    454,704/679,244 = 679,244/x
  3. Step 3: Cross multiply
    454,704x = 679,244 × 679,244
  4. Step 4: Simplify right side
    454,704x = 461,372,411,536
  5. Step 5: Solve for x
    x = 461,372,411,536/454,704
  6. Step 6: Final answer
    x = 1,014,665.39

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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.