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Finding the Third Proportional to 268,944 and 416,421

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Solution

The third proportional to 268,944 and 416,421 is: 644,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,944 : 416,421 = 416,421 : x
  2. Step 2: Convert to fraction form
    268,944/416,421 = 416,421/x
  3. Step 3: Cross multiply
    268,944x = 416,421 × 416,421
  4. Step 4: Simplify right side
    268,944x = 173,406,449,241
  5. Step 5: Solve for x
    x = 173,406,449,241/268,944
  6. Step 6: Final answer
    x = 644,767.87

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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.