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Finding the Third Proportional to 404,864 and 576,734

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Solution

The third proportional to 404,864 and 576,734 is: 821,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,864 : 576,734 = 576,734 : x
  2. Step 2: Convert to fraction form
    404,864/576,734 = 576,734/x
  3. Step 3: Cross multiply
    404,864x = 576,734 × 576,734
  4. Step 4: Simplify right side
    404,864x = 332,622,106,756
  5. Step 5: Solve for x
    x = 332,622,106,756/404,864
  6. Step 6: Final answer
    x = 821,565.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.