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Finding the Third Proportional to 452.06 and 974.06

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Solution

The third proportional to 452.06 and 974.06 is: 2,098.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.06 : 974.06 = 974.06 : x
  2. Step 2: Convert to fraction form
    452.06/974.06 = 974.06/x
  3. Step 3: Cross multiply
    452.06x = 974.06 × 974.06
  4. Step 4: Simplify right side
    452.06x = 948,797.75
  5. Step 5: Solve for x
    x = 948,797.75/452.06
  6. Step 6: Final answer
    x = 2,098.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.