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Finding the Third Proportional to 425,433 and 635,151

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Solution

The third proportional to 425,433 and 635,151 is: 948,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,433 : 635,151 = 635,151 : x
  2. Step 2: Convert to fraction form
    425,433/635,151 = 635,151/x
  3. Step 3: Cross multiply
    425,433x = 635,151 × 635,151
  4. Step 4: Simplify right side
    425,433x = 403,416,792,801
  5. Step 5: Solve for x
    x = 403,416,792,801/425,433
  6. Step 6: Final answer
    x = 948,249.88

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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.