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Finding the Third Proportional to 410.06 and 951.12

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Solution

The third proportional to 410.06 and 951.12 is: 2,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 951.12 = 951.12 : x
  2. Step 2: Convert to fraction form
    410.06/951.12 = 951.12/x
  3. Step 3: Cross multiply
    410.06x = 951.12 × 951.12
  4. Step 4: Simplify right side
    410.06x = 904,623.90
  5. Step 5: Solve for x
    x = 904,623.90/410.06
  6. Step 6: Final answer
    x = 2,206.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.