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Finding the Third Proportional to 269,194,885 and 584,332,659

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Solution

The third proportional to 269,194,885 and 584,332,659 is: 1,268,392,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194,885 : 584,332,659 = 584,332,659 : x
  2. Step 2: Convert to fraction form
    269,194,885/584,332,659 = 584,332,659/x
  3. Step 3: Cross multiply
    269,194,885x = 584,332,659 × 584,332,659
  4. Step 4: Simplify right side
    269,194,885x = 341,444,656,374,010,304
  5. Step 5: Solve for x
    x = 341,444,656,374,010,304/269,194,885
  6. Step 6: Final answer
    x = 1,268,392,066.12

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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.