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Finding the Third Proportional to 492.50 and 1,024.75

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Solution

The third proportional to 492.50 and 1,024.75 is: 2,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 1,024.75 = 1,024.75 : x
  2. Step 2: Convert to fraction form
    492.50/1,024.75 = 1,024.75/x
  3. Step 3: Cross multiply
    492.50x = 1,024.75 × 1,024.75
  4. Step 4: Simplify right side
    492.50x = 1,050,112.56
  5. Step 5: Solve for x
    x = 1,050,112.56/492.50
  6. Step 6: Final answer
    x = 2,132.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.