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Finding the Third Proportional to 274,696.31 and 425,287.13

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Solution

The third proportional to 274,696.31 and 425,287.13 is: 658,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,696.31 : 425,287.13 = 425,287.13 : x
  2. Step 2: Convert to fraction form
    274,696.31/425,287.13 = 425,287.13/x
  3. Step 3: Cross multiply
    274,696.31x = 425,287.13 × 425,287.13
  4. Step 4: Simplify right side
    274,696.31x = 180,869,138,690.77
  5. Step 5: Solve for x
    x = 180,869,138,690.77/274,696.31
  6. Step 6: Final answer
    x = 658,433.08

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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.