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Finding the Third Proportional to 674.89 and 1,443.76

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Solution

The third proportional to 674.89 and 1,443.76 is: 3,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.89 : 1,443.76 = 1,443.76 : x
  2. Step 2: Convert to fraction form
    674.89/1,443.76 = 1,443.76/x
  3. Step 3: Cross multiply
    674.89x = 1,443.76 × 1,443.76
  4. Step 4: Simplify right side
    674.89x = 2,084,447.90
  5. Step 5: Solve for x
    x = 2,084,447.90/674.89
  6. Step 6: Final answer
    x = 3,088.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.