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Finding the Third Proportional to 472.50 and 1,020.75

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Solution

The third proportional to 472.50 and 1,020.75 is: 2,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 1,020.75 = 1,020.75 : x
  2. Step 2: Convert to fraction form
    472.50/1,020.75 = 1,020.75/x
  3. Step 3: Cross multiply
    472.50x = 1,020.75 × 1,020.75
  4. Step 4: Simplify right side
    472.50x = 1,041,930.56
  5. Step 5: Solve for x
    x = 1,041,930.56/472.50
  6. Step 6: Final answer
    x = 2,205.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.