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Finding the Third Proportional to 327,282,648 and 508,168,704

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Solution

The third proportional to 327,282,648 and 508,168,704 is: 789,028,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,282,648 : 508,168,704 = 508,168,704 : x
  2. Step 2: Convert to fraction form
    327,282,648/508,168,704 = 508,168,704/x
  3. Step 3: Cross multiply
    327,282,648x = 508,168,704 × 508,168,704
  4. Step 4: Simplify right side
    327,282,648x = 258,235,431,725,039,616
  5. Step 5: Solve for x
    x = 258,235,431,725,039,616/327,282,648
  6. Step 6: Final answer
    x = 789,028,789.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.