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Finding the Third Proportional to 268,613,986 and 584,520,248

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Solution

The third proportional to 268,613,986 and 584,520,248 is: 1,271,951,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,613,986 : 584,520,248 = 584,520,248 : x
  2. Step 2: Convert to fraction form
    268,613,986/584,520,248 = 584,520,248/x
  3. Step 3: Cross multiply
    268,613,986x = 584,520,248 × 584,520,248
  4. Step 4: Simplify right side
    268,613,986x = 341,663,920,321,981,504
  5. Step 5: Solve for x
    x = 341,663,920,321,981,504/268,613,986
  6. Step 6: Final answer
    x = 1,271,951,343.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.