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Finding the Third Proportional to 268,540 and 410,586

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Solution

The third proportional to 268,540 and 410,586 is: 627,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,540 : 410,586 = 410,586 : x
  2. Step 2: Convert to fraction form
    268,540/410,586 = 410,586/x
  3. Step 3: Cross multiply
    268,540x = 410,586 × 410,586
  4. Step 4: Simplify right side
    268,540x = 168,580,863,396
  5. Step 5: Solve for x
    x = 168,580,863,396/268,540
  6. Step 6: Final answer
    x = 627,768.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.