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Finding the Third Proportional to 277,259,636 and 396,453,858

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Solution

The third proportional to 277,259,636 and 396,453,858 is: 566,889,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,259,636 : 396,453,858 = 396,453,858 : x
  2. Step 2: Convert to fraction form
    277,259,636/396,453,858 = 396,453,858/x
  3. Step 3: Cross multiply
    277,259,636x = 396,453,858 × 396,453,858
  4. Step 4: Simplify right side
    277,259,636x = 157,175,661,523,084,160
  5. Step 5: Solve for x
    x = 157,175,661,523,084,160/277,259,636
  6. Step 6: Final answer
    x = 566,889,806.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.