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Finding the Third Proportional to 408,624.75 and 864,006.75

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Solution

The third proportional to 408,624.75 and 864,006.75 is: 1,826,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,624.75 : 864,006.75 = 864,006.75 : x
  2. Step 2: Convert to fraction form
    408,624.75/864,006.75 = 864,006.75/x
  3. Step 3: Cross multiply
    408,624.75x = 864,006.75 × 864,006.75
  4. Step 4: Simplify right side
    408,624.75x = 746,507,664,045.56
  5. Step 5: Solve for x
    x = 746,507,664,045.56/408,624.75
  6. Step 6: Final answer
    x = 1,826,878.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.