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Finding the Third Proportional to 408,579.75 and 886,047.75

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Solution

The third proportional to 408,579.75 and 886,047.75 is: 1,921,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,579.75 : 886,047.75 = 886,047.75 : x
  2. Step 2: Convert to fraction form
    408,579.75/886,047.75 = 886,047.75/x
  3. Step 3: Cross multiply
    408,579.75x = 886,047.75 × 886,047.75
  4. Step 4: Simplify right side
    408,579.75x = 785,080,615,280.06
  5. Step 5: Solve for x
    x = 785,080,615,280.06/408,579.75
  6. Step 6: Final answer
    x = 1,921,486.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.