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Finding the Third Proportional to 327,229,104 and 520,937,496

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Solution

The third proportional to 327,229,104 and 520,937,496 is: 829,314,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,229,104 : 520,937,496 = 520,937,496 : x
  2. Step 2: Convert to fraction form
    327,229,104/520,937,496 = 520,937,496/x
  3. Step 3: Cross multiply
    327,229,104x = 520,937,496 × 520,937,496
  4. Step 4: Simplify right side
    327,229,104x = 271,375,874,738,750,016
  5. Step 5: Solve for x
    x = 271,375,874,738,750,016/327,229,104
  6. Step 6: Final answer
    x = 829,314,603.81

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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.