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Finding the Third Proportional to 225,180 and 486,443.25

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Solution

The third proportional to 225,180 and 486,443.25 is: 1,050,835.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,180 : 486,443.25 = 486,443.25 : x
  2. Step 2: Convert to fraction form
    225,180/486,443.25 = 486,443.25/x
  3. Step 3: Cross multiply
    225,180x = 486,443.25 × 486,443.25
  4. Step 4: Simplify right side
    225,180x = 236,627,035,470.56
  5. Step 5: Solve for x
    x = 236,627,035,470.56/225,180
  6. Step 6: Final answer
    x = 1,050,835.05

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