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Finding the Third Proportional to 381,891,840 and 587,336,256

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Solution

The third proportional to 381,891,840 and 587,336,256 is: 903,302,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,891,840 : 587,336,256 = 587,336,256 : x
  2. Step 2: Convert to fraction form
    381,891,840/587,336,256 = 587,336,256/x
  3. Step 3: Cross multiply
    381,891,840x = 587,336,256 × 587,336,256
  4. Step 4: Simplify right side
    381,891,840x = 344,963,877,612,097,536
  5. Step 5: Solve for x
    x = 344,963,877,612,097,536/381,891,840
  6. Step 6: Final answer
    x = 903,302,562.35

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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.