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Finding the Third Proportional to 532.75 and 793.75

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Solution

The third proportional to 532.75 and 793.75 is: 1,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.75 : 793.75 = 793.75 : x
  2. Step 2: Convert to fraction form
    532.75/793.75 = 793.75/x
  3. Step 3: Cross multiply
    532.75x = 793.75 × 793.75
  4. Step 4: Simplify right side
    532.75x = 630,039.06
  5. Step 5: Solve for x
    x = 630,039.06/532.75
  6. Step 6: Final answer
    x = 1,182.62

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