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Finding the Third Proportional to 268,940 and 416,415

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Solution

The third proportional to 268,940 and 416,415 is: 644,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,940 : 416,415 = 416,415 : x
  2. Step 2: Convert to fraction form
    268,940/416,415 = 416,415/x
  3. Step 3: Cross multiply
    268,940x = 416,415 × 416,415
  4. Step 4: Simplify right side
    268,940x = 173,401,452,225
  5. Step 5: Solve for x
    x = 173,401,452,225/268,940
  6. Step 6: Final answer
    x = 644,758.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.