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Finding the Third Proportional to 267,776 and 410,162

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Solution

The third proportional to 267,776 and 410,162 is: 628,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,776 : 410,162 = 410,162 : x
  2. Step 2: Convert to fraction form
    267,776/410,162 = 410,162/x
  3. Step 3: Cross multiply
    267,776x = 410,162 × 410,162
  4. Step 4: Simplify right side
    267,776x = 168,232,866,244
  5. Step 5: Solve for x
    x = 168,232,866,244/267,776
  6. Step 6: Final answer
    x = 628,259.69

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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.