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Finding the Third Proportional to 522.88 and 782.75

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Solution

The third proportional to 522.88 and 782.75 is: 1,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.88 : 782.75 = 782.75 : x
  2. Step 2: Convert to fraction form
    522.88/782.75 = 782.75/x
  3. Step 3: Cross multiply
    522.88x = 782.75 × 782.75
  4. Step 4: Simplify right side
    522.88x = 612,697.56
  5. Step 5: Solve for x
    x = 612,697.56/522.88
  6. Step 6: Final answer
    x = 1,171.79

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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.