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Finding the Third Proportional to 847.97 and 1,264.78

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Solution

The third proportional to 847.97 and 1,264.78 is: 1,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.97 : 1,264.78 = 1,264.78 : x
  2. Step 2: Convert to fraction form
    847.97/1,264.78 = 1,264.78/x
  3. Step 3: Cross multiply
    847.97x = 1,264.78 × 1,264.78
  4. Step 4: Simplify right side
    847.97x = 1,599,671.61
  5. Step 5: Solve for x
    x = 1,599,671.61/847.97
  6. Step 6: Final answer
    x = 1,886.47

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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.