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Finding the Third Proportional to 263,306 and 576,616

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Solution

The third proportional to 263,306 and 576,616 is: 1,262,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,306 : 576,616 = 576,616 : x
  2. Step 2: Convert to fraction form
    263,306/576,616 = 576,616/x
  3. Step 3: Cross multiply
    263,306x = 576,616 × 576,616
  4. Step 4: Simplify right side
    263,306x = 332,486,011,456
  5. Step 5: Solve for x
    x = 332,486,011,456/263,306
  6. Step 6: Final answer
    x = 1,262,736.18

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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.