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Finding the Third Proportional to 544.13 and 854.06

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Solution

The third proportional to 544.13 and 854.06 is: 1,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.13 : 854.06 = 854.06 : x
  2. Step 2: Convert to fraction form
    544.13/854.06 = 854.06/x
  3. Step 3: Cross multiply
    544.13x = 854.06 × 854.06
  4. Step 4: Simplify right side
    544.13x = 729,422.75
  5. Step 5: Solve for x
    x = 729,422.75/544.13
  6. Step 6: Final answer
    x = 1,340.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.