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Finding the Third Proportional to 267,056 and 412,358

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Solution

The third proportional to 267,056 and 412,358 is: 636,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,056 : 412,358 = 412,358 : x
  2. Step 2: Convert to fraction form
    267,056/412,358 = 412,358/x
  3. Step 3: Cross multiply
    267,056x = 412,358 × 412,358
  4. Step 4: Simplify right side
    267,056x = 170,039,120,164
  5. Step 5: Solve for x
    x = 170,039,120,164/267,056
  6. Step 6: Final answer
    x = 636,717.09

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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.