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Finding the Third Proportional to 269,194,902 and 584,332,701

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Solution

The third proportional to 269,194,902 and 584,332,701 is: 1,268,392,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194,902 : 584,332,701 = 584,332,701 : x
  2. Step 2: Convert to fraction form
    269,194,902/584,332,701 = 584,332,701/x
  3. Step 3: Cross multiply
    269,194,902x = 584,332,701 × 584,332,701
  4. Step 4: Simplify right side
    269,194,902x = 341,444,705,457,955,392
  5. Step 5: Solve for x
    x = 341,444,705,457,955,392/269,194,902
  6. Step 6: Final answer
    x = 1,268,392,168.36

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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.