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Finding the Third Proportional to 234,204 and 513,928

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Solution

The third proportional to 234,204 and 513,928 is: 1,127,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,204 : 513,928 = 513,928 : x
  2. Step 2: Convert to fraction form
    234,204/513,928 = 513,928/x
  3. Step 3: Cross multiply
    234,204x = 513,928 × 513,928
  4. Step 4: Simplify right side
    234,204x = 264,121,989,184
  5. Step 5: Solve for x
    x = 264,121,989,184/234,204
  6. Step 6: Final answer
    x = 1,127,743.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.