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Finding the Third Proportional to 267.38 and 578.63

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Solution

The third proportional to 267.38 and 578.63 is: 1,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.38 : 578.63 = 578.63 : x
  2. Step 2: Convert to fraction form
    267.38/578.63 = 578.63/x
  3. Step 3: Cross multiply
    267.38x = 578.63 × 578.63
  4. Step 4: Simplify right side
    267.38x = 334,806.89
  5. Step 5: Solve for x
    x = 334,806.89/267.38
  6. Step 6: Final answer
    x = 1,252.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.