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Finding the Third Proportional to 408,253.25 and 886,612

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Solution

The third proportional to 408,253.25 and 886,612 is: 1,925,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,253.25 : 886,612 = 886,612 : x
  2. Step 2: Convert to fraction form
    408,253.25/886,612 = 886,612/x
  3. Step 3: Cross multiply
    408,253.25x = 886,612 × 886,612
  4. Step 4: Simplify right side
    408,253.25x = 786,080,838,544
  5. Step 5: Solve for x
    x = 786,080,838,544/408,253.25
  6. Step 6: Final answer
    x = 1,925,473.56

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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.