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Finding the Third Proportional to 259,133,544 and 397,361,400

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Solution

The third proportional to 259,133,544 and 397,361,400 is: 609,323,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,133,544 : 397,361,400 = 397,361,400 : x
  2. Step 2: Convert to fraction form
    259,133,544/397,361,400 = 397,361,400/x
  3. Step 3: Cross multiply
    259,133,544x = 397,361,400 × 397,361,400
  4. Step 4: Simplify right side
    259,133,544x = 157,896,082,209,960,000
  5. Step 5: Solve for x
    x = 157,896,082,209,960,000/259,133,544
  6. Step 6: Final answer
    x = 609,323,207.53

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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.