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Finding the Third Proportional to 927.70 and 1,236.52

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Solution

The third proportional to 927.70 and 1,236.52 is: 1,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.70 : 1,236.52 = 1,236.52 : x
  2. Step 2: Convert to fraction form
    927.70/1,236.52 = 1,236.52/x
  3. Step 3: Cross multiply
    927.70x = 1,236.52 × 1,236.52
  4. Step 4: Simplify right side
    927.70x = 1,528,970.89
  5. Step 5: Solve for x
    x = 1,528,970.89/927.70
  6. Step 6: Final answer
    x = 1,648.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.