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Finding the Third Proportional to 322,648,344 and 495,933,744

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Solution

The third proportional to 322,648,344 and 495,933,744 is: 762,285,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,648,344 : 495,933,744 = 495,933,744 : x
  2. Step 2: Convert to fraction form
    322,648,344/495,933,744 = 495,933,744/x
  3. Step 3: Cross multiply
    322,648,344x = 495,933,744 × 495,933,744
  4. Step 4: Simplify right side
    322,648,344x = 245,950,278,437,857,536
  5. Step 5: Solve for x
    x = 245,950,278,437,857,536/322,648,344
  6. Step 6: Final answer
    x = 762,285,884.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.