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Finding the Third Proportional to 263,304 and 576,612

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Solution

The third proportional to 263,304 and 576,612 is: 1,262,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,304 : 576,612 = 576,612 : x
  2. Step 2: Convert to fraction form
    263,304/576,612 = 576,612/x
  3. Step 3: Cross multiply
    263,304x = 576,612 × 576,612
  4. Step 4: Simplify right side
    263,304x = 332,481,398,544
  5. Step 5: Solve for x
    x = 332,481,398,544/263,304
  6. Step 6: Final answer
    x = 1,262,728.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.