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Finding the Third Proportional to 331,725,132 and 491,060,232

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Solution

The third proportional to 331,725,132 and 491,060,232 is: 726,927,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,725,132 : 491,060,232 = 491,060,232 : x
  2. Step 2: Convert to fraction form
    331,725,132/491,060,232 = 491,060,232/x
  3. Step 3: Cross multiply
    331,725,132x = 491,060,232 × 491,060,232
  4. Step 4: Simplify right side
    331,725,132x = 241,140,151,451,893,824
  5. Step 5: Solve for x
    x = 241,140,151,451,893,824/331,725,132
  6. Step 6: Final answer
    x = 726,927,592.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.