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Finding the Third Proportional to 255,906,968 and 552,590,512

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Solution

The third proportional to 255,906,968 and 552,590,512 is: 1,193,231,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906,968 : 552,590,512 = 552,590,512 : x
  2. Step 2: Convert to fraction form
    255,906,968/552,590,512 = 552,590,512/x
  3. Step 3: Cross multiply
    255,906,968x = 552,590,512 × 552,590,512
  4. Step 4: Simplify right side
    255,906,968x = 305,356,273,952,422,144
  5. Step 5: Solve for x
    x = 305,356,273,952,422,144/255,906,968
  6. Step 6: Final answer
    x = 1,193,231,572.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.