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Finding the Third Proportional to 268,945 and 579,384

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Solution

The third proportional to 268,945 and 579,384 is: 1,248,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,945 : 579,384 = 579,384 : x
  2. Step 2: Convert to fraction form
    268,945/579,384 = 579,384/x
  3. Step 3: Cross multiply
    268,945x = 579,384 × 579,384
  4. Step 4: Simplify right side
    268,945x = 335,685,819,456
  5. Step 5: Solve for x
    x = 335,685,819,456/268,945
  6. Step 6: Final answer
    x = 1,248,157.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.