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Finding the Third Proportional to 327,229,118 and 520,937,517

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Solution

The third proportional to 327,229,118 and 520,937,517 is: 829,314,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,229,118 : 520,937,517 = 520,937,517 : x
  2. Step 2: Convert to fraction form
    327,229,118/520,937,517 = 520,937,517/x
  3. Step 3: Cross multiply
    327,229,118x = 520,937,517 × 520,937,517
  4. Step 4: Simplify right side
    327,229,118x = 271,375,896,618,125,280
  5. Step 5: Solve for x
    x = 271,375,896,618,125,280/327,229,118
  6. Step 6: Final answer
    x = 829,314,635.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.