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Finding the Third Proportional to 336,192,768 and 519,203,520

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Solution

The third proportional to 336,192,768 and 519,203,520 is: 801,838,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,192,768 : 519,203,520 = 519,203,520 : x
  2. Step 2: Convert to fraction form
    336,192,768/519,203,520 = 519,203,520/x
  3. Step 3: Cross multiply
    336,192,768x = 519,203,520 × 519,203,520
  4. Step 4: Simplify right side
    336,192,768x = 269,572,295,180,390,400
  5. Step 5: Solve for x
    x = 269,572,295,180,390,400/336,192,768
  6. Step 6: Final answer
    x = 801,838,471.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.