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Finding the Third Proportional to 322,648,296 and 495,933,660

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Solution

The third proportional to 322,648,296 and 495,933,660 is: 762,285,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,648,296 : 495,933,660 = 495,933,660 : x
  2. Step 2: Convert to fraction form
    322,648,296/495,933,660 = 495,933,660/x
  3. Step 3: Cross multiply
    322,648,296x = 495,933,660 × 495,933,660
  4. Step 4: Simplify right side
    322,648,296x = 245,950,195,120,995,584
  5. Step 5: Solve for x
    x = 245,950,195,120,995,584/322,648,296
  6. Step 6: Final answer
    x = 762,285,740.14

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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.