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Finding the Third Proportional to 854.81 and 1,177.69

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Solution

The third proportional to 854.81 and 1,177.69 is: 1,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.81 : 1,177.69 = 1,177.69 : x
  2. Step 2: Convert to fraction form
    854.81/1,177.69 = 1,177.69/x
  3. Step 3: Cross multiply
    854.81x = 1,177.69 × 1,177.69
  4. Step 4: Simplify right side
    854.81x = 1,386,947.85
  5. Step 5: Solve for x
    x = 1,386,947.85/854.81
  6. Step 6: Final answer
    x = 1,622.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.