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Finding the Third Proportional to 250,544,736 and 383,305,384

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Solution

The third proportional to 250,544,736 and 383,305,384 is: 586,414,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,544,736 : 383,305,384 = 383,305,384 : x
  2. Step 2: Convert to fraction form
    250,544,736/383,305,384 = 383,305,384/x
  3. Step 3: Cross multiply
    250,544,736x = 383,305,384 × 383,305,384
  4. Step 4: Simplify right side
    250,544,736x = 146,923,017,403,387,456
  5. Step 5: Solve for x
    x = 146,923,017,403,387,456/250,544,736
  6. Step 6: Final answer
    x = 586,414,305.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.