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Finding the Third Proportional to 449,632,838.25 and 674,449,211.25

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Solution

The third proportional to 449,632,838.25 and 674,449,211.25 is: 1,011,673,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,632,838.25 : 674,449,211.25 = 674,449,211.25 : x
  2. Step 2: Convert to fraction form
    449,632,838.25/674,449,211.25 = 674,449,211.25/x
  3. Step 3: Cross multiply
    449,632,838.25x = 674,449,211.25 × 674,449,211.25
  4. Step 4: Simplify right side
    449,632,838.25x = 454,881,738,555,747,136
  5. Step 5: Solve for x
    x = 454,881,738,555,747,136/449,632,838.25
  6. Step 6: Final answer
    x = 1,011,673,747.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.