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Finding the Third Proportional to 524.75 and 779.38

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Solution

The third proportional to 524.75 and 779.38 is: 1,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 779.38 = 779.38 : x
  2. Step 2: Convert to fraction form
    524.75/779.38 = 779.38/x
  3. Step 3: Cross multiply
    524.75x = 779.38 × 779.38
  4. Step 4: Simplify right side
    524.75x = 607,425.39
  5. Step 5: Solve for x
    x = 607,425.39/524.75
  6. Step 6: Final answer
    x = 1,157.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.