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Finding the Third Proportional to 259,133,464 and 397,361,286

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Solution

The third proportional to 259,133,464 and 397,361,286 is: 609,323,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,133,464 : 397,361,286 = 397,361,286 : x
  2. Step 2: Convert to fraction form
    259,133,464/397,361,286 = 397,361,286/x
  3. Step 3: Cross multiply
    259,133,464x = 397,361,286 × 397,361,286
  4. Step 4: Simplify right side
    259,133,464x = 157,895,991,611,573,792
  5. Step 5: Solve for x
    x = 157,895,991,611,573,792/259,133,464
  6. Step 6: Final answer
    x = 609,323,046.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.