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Finding the Third Proportional to 267,052 and 412,352

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Solution

The third proportional to 267,052 and 412,352 is: 636,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,052 : 412,352 = 412,352 : x
  2. Step 2: Convert to fraction form
    267,052/412,352 = 412,352/x
  3. Step 3: Cross multiply
    267,052x = 412,352 × 412,352
  4. Step 4: Simplify right side
    267,052x = 170,034,171,904
  5. Step 5: Solve for x
    x = 170,034,171,904/267,052
  6. Step 6: Final answer
    x = 636,708.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.