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Finding the Third Proportional to 267,048 and 412,347

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Solution

The third proportional to 267,048 and 412,347 is: 636,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,048 : 412,347 = 412,347 : x
  2. Step 2: Convert to fraction form
    267,048/412,347 = 412,347/x
  3. Step 3: Cross multiply
    267,048x = 412,347 × 412,347
  4. Step 4: Simplify right side
    267,048x = 170,030,048,409
  5. Step 5: Solve for x
    x = 170,030,048,409/267,048
  6. Step 6: Final answer
    x = 636,702.20

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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.