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Finding the Third Proportional to 392,839,014 and 546,211,257

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Solution

The third proportional to 392,839,014 and 546,211,257 is: 759,463,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,839,014 : 546,211,257 = 546,211,257 : x
  2. Step 2: Convert to fraction form
    392,839,014/546,211,257 = 546,211,257/x
  3. Step 3: Cross multiply
    392,839,014x = 546,211,257 × 546,211,257
  4. Step 4: Simplify right side
    392,839,014x = 298,346,737,273,520,064
  5. Step 5: Solve for x
    x = 298,346,737,273,520,064/392,839,014
  6. Step 6: Final answer
    x = 759,463,104.84

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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.