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Finding the Third Proportional to 455,571 and 679,662

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Solution

The third proportional to 455,571 and 679,662 is: 1,013,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,571 : 679,662 = 679,662 : x
  2. Step 2: Convert to fraction form
    455,571/679,662 = 679,662/x
  3. Step 3: Cross multiply
    455,571x = 679,662 × 679,662
  4. Step 4: Simplify right side
    455,571x = 461,940,434,244
  5. Step 5: Solve for x
    x = 461,940,434,244/455,571
  6. Step 6: Final answer
    x = 1,013,981.21

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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.