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Finding the Third Proportional to 268,632 and 579,231

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Solution

The third proportional to 268,632 and 579,231 is: 1,248,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,632 : 579,231 = 579,231 : x
  2. Step 2: Convert to fraction form
    268,632/579,231 = 579,231/x
  3. Step 3: Cross multiply
    268,632x = 579,231 × 579,231
  4. Step 4: Simplify right side
    268,632x = 335,508,551,361
  5. Step 5: Solve for x
    x = 335,508,551,361/268,632
  6. Step 6: Final answer
    x = 1,248,952.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.