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Finding the Third Proportional to 851.13 and 1,228.61

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Solution

The third proportional to 851.13 and 1,228.61 is: 1,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.13 : 1,228.61 = 1,228.61 : x
  2. Step 2: Convert to fraction form
    851.13/1,228.61 = 1,228.61/x
  3. Step 3: Cross multiply
    851.13x = 1,228.61 × 1,228.61
  4. Step 4: Simplify right side
    851.13x = 1,509,471.40
  5. Step 5: Solve for x
    x = 1,509,471.40/851.13
  6. Step 6: Final answer
    x = 1,773.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.