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Finding the Third Proportional to 267,296 and 576,378

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Solution

The third proportional to 267,296 and 576,378 is: 1,242,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,296 : 576,378 = 576,378 : x
  2. Step 2: Convert to fraction form
    267,296/576,378 = 576,378/x
  3. Step 3: Cross multiply
    267,296x = 576,378 × 576,378
  4. Step 4: Simplify right side
    267,296x = 332,211,598,884
  5. Step 5: Solve for x
    x = 332,211,598,884/267,296
  6. Step 6: Final answer
    x = 1,242,860.35

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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.