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Finding the Third Proportional to 324,473,828 and 494,883,322

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Solution

The third proportional to 324,473,828 and 494,883,322 is: 754,789,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,473,828 : 494,883,322 = 494,883,322 : x
  2. Step 2: Convert to fraction form
    324,473,828/494,883,322 = 494,883,322/x
  3. Step 3: Cross multiply
    324,473,828x = 494,883,322 × 494,883,322
  4. Step 4: Simplify right side
    324,473,828x = 244,909,502,393,755,680
  5. Step 5: Solve for x
    x = 244,909,502,393,755,680/324,473,828
  6. Step 6: Final answer
    x = 754,789,697.23

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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.