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Finding the Third Proportional to 234,206 and 513,932

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Solution

The third proportional to 234,206 and 513,932 is: 1,127,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,206 : 513,932 = 513,932 : x
  2. Step 2: Convert to fraction form
    234,206/513,932 = 513,932/x
  3. Step 3: Cross multiply
    234,206x = 513,932 × 513,932
  4. Step 4: Simplify right side
    234,206x = 264,126,100,624
  5. Step 5: Solve for x
    x = 264,126,100,624/234,206
  6. Step 6: Final answer
    x = 1,127,751.21

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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.