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Finding the Third Proportional to 408,802,209.50 and 613,053,170

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Solution

The third proportional to 408,802,209.50 and 613,053,170 is: 919,354,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,802,209.50 : 613,053,170 = 613,053,170 : x
  2. Step 2: Convert to fraction form
    408,802,209.50/613,053,170 = 613,053,170/x
  3. Step 3: Cross multiply
    408,802,209.50x = 613,053,170 × 613,053,170
  4. Step 4: Simplify right side
    408,802,209.50x = 375,834,189,247,048,896
  5. Step 5: Solve for x
    x = 375,834,189,247,048,896/408,802,209.50
  6. Step 6: Final answer
    x = 919,354,593.77

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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.