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Finding the Third Proportional to 261,950 and 400,442

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Solution

The third proportional to 261,950 and 400,442 is: 612,154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,950 : 400,442 = 400,442 : x
  2. Step 2: Convert to fraction form
    261,950/400,442 = 400,442/x
  3. Step 3: Cross multiply
    261,950x = 400,442 × 400,442
  4. Step 4: Simplify right side
    261,950x = 160,353,795,364
  5. Step 5: Solve for x
    x = 160,353,795,364/261,950
  6. Step 6: Final answer
    x = 612,154.21

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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.