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Finding the Third Proportional to 524.81 and 855.56

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Solution

The third proportional to 524.81 and 855.56 is: 1,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 855.56 = 855.56 : x
  2. Step 2: Convert to fraction form
    524.81/855.56 = 855.56/x
  3. Step 3: Cross multiply
    524.81x = 855.56 × 855.56
  4. Step 4: Simplify right side
    524.81x = 731,987.19
  5. Step 5: Solve for x
    x = 731,987.19/524.81
  6. Step 6: Final answer
    x = 1,394.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.