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Finding the Third Proportional to 269,194,900 and 584,332,698

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Solution

The third proportional to 269,194,900 and 584,332,698 is: 1,268,392,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194,900 : 584,332,698 = 584,332,698 : x
  2. Step 2: Convert to fraction form
    269,194,900/584,332,698 = 584,332,698/x
  3. Step 3: Cross multiply
    269,194,900x = 584,332,698 × 584,332,698
  4. Step 4: Simplify right side
    269,194,900x = 341,444,701,951,959,232
  5. Step 5: Solve for x
    x = 341,444,701,951,959,232/269,194,900
  6. Step 6: Final answer
    x = 1,268,392,164.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.