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Finding the Third Proportional to 400,523 and 600,864

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Solution

The third proportional to 400,523 and 600,864 is: 901,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,523 : 600,864 = 600,864 : x
  2. Step 2: Convert to fraction form
    400,523/600,864 = 600,864/x
  3. Step 3: Cross multiply
    400,523x = 600,864 × 600,864
  4. Step 4: Simplify right side
    400,523x = 361,037,546,496
  5. Step 5: Solve for x
    x = 361,037,546,496/400,523
  6. Step 6: Final answer
    x = 901,415.27

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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.