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Finding the Third Proportional to 267,576 and 413,124

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Solution

The third proportional to 267,576 and 413,124 is: 637,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,576 : 413,124 = 413,124 : x
  2. Step 2: Convert to fraction form
    267,576/413,124 = 413,124/x
  3. Step 3: Cross multiply
    267,576x = 413,124 × 413,124
  4. Step 4: Simplify right side
    267,576x = 170,671,439,376
  5. Step 5: Solve for x
    x = 170,671,439,376/267,576
  6. Step 6: Final answer
    x = 637,842.85

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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.