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Finding the Third Proportional to 454,690 and 679,227

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Solution

The third proportional to 454,690 and 679,227 is: 1,014,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,690 : 679,227 = 679,227 : x
  2. Step 2: Convert to fraction form
    454,690/679,227 = 679,227/x
  3. Step 3: Cross multiply
    454,690x = 679,227 × 679,227
  4. Step 4: Simplify right side
    454,690x = 461,349,317,529
  5. Step 5: Solve for x
    x = 461,349,317,529/454,690
  6. Step 6: Final answer
    x = 1,014,645.84

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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.