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Finding the Third Proportional to 408,204 and 886,464

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Solution

The third proportional to 408,204 and 886,464 is: 1,925,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,204 : 886,464 = 886,464 : x
  2. Step 2: Convert to fraction form
    408,204/886,464 = 886,464/x
  3. Step 3: Cross multiply
    408,204x = 886,464 × 886,464
  4. Step 4: Simplify right side
    408,204x = 785,818,423,296
  5. Step 5: Solve for x
    x = 785,818,423,296/408,204
  6. Step 6: Final answer
    x = 1,925,063.02

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Why These Related Problems?

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