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Finding the Third Proportional to 860.34 and 1,036.27

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Solution

The third proportional to 860.34 and 1,036.27 is: 1,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.34 : 1,036.27 = 1,036.27 : x
  2. Step 2: Convert to fraction form
    860.34/1,036.27 = 1,036.27/x
  3. Step 3: Cross multiply
    860.34x = 1,036.27 × 1,036.27
  4. Step 4: Simplify right side
    860.34x = 1,073,846.45
  5. Step 5: Solve for x
    x = 1,073,846.45/860.34
  6. Step 6: Final answer
    x = 1,248.16

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.