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Finding the Third Proportional to 1,280.59 and 1,932.66

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Solution

The third proportional to 1,280.59 and 1,932.66 is: 2,916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.59 : 1,932.66 = 1,932.66 : x
  2. Step 2: Convert to fraction form
    1,280.59/1,932.66 = 1,932.66/x
  3. Step 3: Cross multiply
    1,280.59x = 1,932.66 × 1,932.66
  4. Step 4: Simplify right side
    1,280.59x = 3,735,160.18
  5. Step 5: Solve for x
    x = 3,735,160.18/1,280.59
  6. Step 6: Final answer
    x = 2,916.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.