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Finding the Third Proportional to 277,916,212 and 593,998,976

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Solution

The third proportional to 277,916,212 and 593,998,976 is: 1,269,572,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,916,212 : 593,998,976 = 593,998,976 : x
  2. Step 2: Convert to fraction form
    277,916,212/593,998,976 = 593,998,976/x
  3. Step 3: Cross multiply
    277,916,212x = 593,998,976 × 593,998,976
  4. Step 4: Simplify right side
    277,916,212x = 352,834,783,489,048,576
  5. Step 5: Solve for x
    x = 352,834,783,489,048,576/277,916,212
  6. Step 6: Final answer
    x = 1,269,572,512.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.