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Finding the Third Proportional to 400,748 and 599,866

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Solution

The third proportional to 400,748 and 599,866 is: 897,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,748 : 599,866 = 599,866 : x
  2. Step 2: Convert to fraction form
    400,748/599,866 = 599,866/x
  3. Step 3: Cross multiply
    400,748x = 599,866 × 599,866
  4. Step 4: Simplify right side
    400,748x = 359,839,217,956
  5. Step 5: Solve for x
    x = 359,839,217,956/400,748
  6. Step 6: Final answer
    x = 897,918.94

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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.