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Finding the Third Proportional to 336,769 and 731,668

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Solution

The third proportional to 336,769 and 731,668 is: 1,589,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,769 : 731,668 = 731,668 : x
  2. Step 2: Convert to fraction form
    336,769/731,668 = 731,668/x
  3. Step 3: Cross multiply
    336,769x = 731,668 × 731,668
  4. Step 4: Simplify right side
    336,769x = 535,338,062,224
  5. Step 5: Solve for x
    x = 535,338,062,224/336,769
  6. Step 6: Final answer
    x = 1,589,629.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.