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Finding the Third Proportional to 400,525 and 600,866

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Solution

The third proportional to 400,525 and 600,866 is: 901,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,525 : 600,866 = 600,866 : x
  2. Step 2: Convert to fraction form
    400,525/600,866 = 600,866/x
  3. Step 3: Cross multiply
    400,525x = 600,866 × 600,866
  4. Step 4: Simplify right side
    400,525x = 361,039,949,956
  5. Step 5: Solve for x
    x = 361,039,949,956/400,525
  6. Step 6: Final answer
    x = 901,416.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.