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Finding the Third Proportional to 410.06 and 900.22

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Solution

The third proportional to 410.06 and 900.22 is: 1,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 900.22 = 900.22 : x
  2. Step 2: Convert to fraction form
    410.06/900.22 = 900.22/x
  3. Step 3: Cross multiply
    410.06x = 900.22 × 900.22
  4. Step 4: Simplify right side
    410.06x = 810,387.64
  5. Step 5: Solve for x
    x = 810,387.64/410.06
  6. Step 6: Final answer
    x = 1,976.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.