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Finding the Third Proportional to 332,025,614 and 496,208,448

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Solution

The third proportional to 332,025,614 and 496,208,448 is: 741,577,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,025,614 : 496,208,448 = 496,208,448 : x
  2. Step 2: Convert to fraction form
    332,025,614/496,208,448 = 496,208,448/x
  3. Step 3: Cross multiply
    332,025,614x = 496,208,448 × 496,208,448
  4. Step 4: Simplify right side
    332,025,614x = 246,222,823,866,568,704
  5. Step 5: Solve for x
    x = 246,222,823,866,568,704/332,025,614
  6. Step 6: Final answer
    x = 741,577,798.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.