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Finding the Third Proportional to 855.28 and 1,264.78

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Solution

The third proportional to 855.28 and 1,264.78 is: 1,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.28 : 1,264.78 = 1,264.78 : x
  2. Step 2: Convert to fraction form
    855.28/1,264.78 = 1,264.78/x
  3. Step 3: Cross multiply
    855.28x = 1,264.78 × 1,264.78
  4. Step 4: Simplify right side
    855.28x = 1,599,671.61
  5. Step 5: Solve for x
    x = 1,599,671.61/855.28
  6. Step 6: Final answer
    x = 1,870.35

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.