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Finding the Third Proportional to 392,839,016 and 546,211,260

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Solution

The third proportional to 392,839,016 and 546,211,260 is: 759,463,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,839,016 : 546,211,260 = 546,211,260 : x
  2. Step 2: Convert to fraction form
    392,839,016/546,211,260 = 546,211,260/x
  3. Step 3: Cross multiply
    392,839,016x = 546,211,260 × 546,211,260
  4. Step 4: Simplify right side
    392,839,016x = 298,346,740,550,787,584
  5. Step 5: Solve for x
    x = 298,346,740,550,787,584/392,839,016
  6. Step 6: Final answer
    x = 759,463,109.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.