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Finding the Third Proportional to 523.50 and 785.25

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Solution

The third proportional to 523.50 and 785.25 is: 1,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 785.25 = 785.25 : x
  2. Step 2: Convert to fraction form
    523.50/785.25 = 785.25/x
  3. Step 3: Cross multiply
    523.50x = 785.25 × 785.25
  4. Step 4: Simplify right side
    523.50x = 616,617.56
  5. Step 5: Solve for x
    x = 616,617.56/523.50
  6. Step 6: Final answer
    x = 1,177.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.