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Finding the Third Proportional to 267,752 and 576,976

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Solution

The third proportional to 267,752 and 576,976 is: 1,243,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,752 : 576,976 = 576,976 : x
  2. Step 2: Convert to fraction form
    267,752/576,976 = 576,976/x
  3. Step 3: Cross multiply
    267,752x = 576,976 × 576,976
  4. Step 4: Simplify right side
    267,752x = 332,901,304,576
  5. Step 5: Solve for x
    x = 332,901,304,576/267,752
  6. Step 6: Final answer
    x = 1,243,319.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.