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Finding the Third Proportional to 265,168 and 576,976

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Solution

The third proportional to 265,168 and 576,976 is: 1,255,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,168 : 576,976 = 576,976 : x
  2. Step 2: Convert to fraction form
    265,168/576,976 = 576,976/x
  3. Step 3: Cross multiply
    265,168x = 576,976 × 576,976
  4. Step 4: Simplify right side
    265,168x = 332,901,304,576
  5. Step 5: Solve for x
    x = 332,901,304,576/265,168
  6. Step 6: Final answer
    x = 1,255,435.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.