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Finding the Third Proportional to 427,422 and 664,449

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Solution

The third proportional to 427,422 and 664,449 is: 1,032,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,422 : 664,449 = 664,449 : x
  2. Step 2: Convert to fraction form
    427,422/664,449 = 664,449/x
  3. Step 3: Cross multiply
    427,422x = 664,449 × 664,449
  4. Step 4: Simplify right side
    427,422x = 441,492,473,601
  5. Step 5: Solve for x
    x = 441,492,473,601/427,422
  6. Step 6: Final answer
    x = 1,032,919.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.