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Finding the Third Proportional to 274,042.41 and 597,883.78

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Solution

The third proportional to 274,042.41 and 597,883.78 is: 1,304,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,042.41 : 597,883.78 = 597,883.78 : x
  2. Step 2: Convert to fraction form
    274,042.41/597,883.78 = 597,883.78/x
  3. Step 3: Cross multiply
    274,042.41x = 597,883.78 × 597,883.78
  4. Step 4: Simplify right side
    274,042.41x = 357,465,015,881.80
  5. Step 5: Solve for x
    x = 357,465,015,881.80/274,042.41
  6. Step 6: Final answer
    x = 1,304,414.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.