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Finding the Third Proportional to 277,899,336 and 408,765,852

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Solution

The third proportional to 277,899,336 and 408,765,852 is: 601,259,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,899,336 : 408,765,852 = 408,765,852 : x
  2. Step 2: Convert to fraction form
    277,899,336/408,765,852 = 408,765,852/x
  3. Step 3: Cross multiply
    277,899,336x = 408,765,852 × 408,765,852
  4. Step 4: Simplify right side
    277,899,336x = 167,089,521,761,285,888
  5. Step 5: Solve for x
    x = 167,089,521,761,285,888/277,899,336
  6. Step 6: Final answer
    x = 601,259,161.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.