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Finding the Third Proportional to 412,224.75 and 908,308.13

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Solution

The third proportional to 412,224.75 and 908,308.13 is: 2,001,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,224.75 : 908,308.13 = 908,308.13 : x
  2. Step 2: Convert to fraction form
    412,224.75/908,308.13 = 908,308.13/x
  3. Step 3: Cross multiply
    412,224.75x = 908,308.13 × 908,308.13
  4. Step 4: Simplify right side
    412,224.75x = 825,023,649,941.02
  5. Step 5: Solve for x
    x = 825,023,649,941.02/412,224.75
  6. Step 6: Final answer
    x = 2,001,392.81

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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.