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Finding the Third Proportional to 325,302,966 and 495,578,250

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Solution

The third proportional to 325,302,966 and 495,578,250 is: 754,981,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,302,966 : 495,578,250 = 495,578,250 : x
  2. Step 2: Convert to fraction form
    325,302,966/495,578,250 = 495,578,250/x
  3. Step 3: Cross multiply
    325,302,966x = 495,578,250 × 495,578,250
  4. Step 4: Simplify right side
    325,302,966x = 245,597,801,873,062,496
  5. Step 5: Solve for x
    x = 245,597,801,873,062,496/325,302,966
  6. Step 6: Final answer
    x = 754,981,747.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.