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Finding the Third Proportional to 324,473,812 and 494,883,297

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Solution

The third proportional to 324,473,812 and 494,883,297 is: 754,789,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,473,812 : 494,883,297 = 494,883,297 : x
  2. Step 2: Convert to fraction form
    324,473,812/494,883,297 = 494,883,297/x
  3. Step 3: Cross multiply
    324,473,812x = 494,883,297 × 494,883,297
  4. Step 4: Simplify right side
    324,473,812x = 244,909,477,649,590,208
  5. Step 5: Solve for x
    x = 244,909,477,649,590,208/324,473,812
  6. Step 6: Final answer
    x = 754,789,658.19

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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.