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Finding the Third Proportional to 854.72 and 1,877.34

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Solution

The third proportional to 854.72 and 1,877.34 is: 4,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.72 : 1,877.34 = 1,877.34 : x
  2. Step 2: Convert to fraction form
    854.72/1,877.34 = 1,877.34/x
  3. Step 3: Cross multiply
    854.72x = 1,877.34 × 1,877.34
  4. Step 4: Simplify right side
    854.72x = 3,524,419.56
  5. Step 5: Solve for x
    x = 3,524,419.56/854.72
  6. Step 6: Final answer
    x = 4,123.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.