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Finding the Third Proportional to 274,654 and 425,048

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Solution

The third proportional to 274,654 and 425,048 is: 657,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,654 : 425,048 = 425,048 : x
  2. Step 2: Convert to fraction form
    274,654/425,048 = 425,048/x
  3. Step 3: Cross multiply
    274,654x = 425,048 × 425,048
  4. Step 4: Simplify right side
    274,654x = 180,665,802,304
  5. Step 5: Solve for x
    x = 180,665,802,304/274,654
  6. Step 6: Final answer
    x = 657,794.18

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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.