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Finding the Third Proportional to 277,558 and 654,997

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Solution

The third proportional to 277,558 and 654,997 is: 1,545,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,558 : 654,997 = 654,997 : x
  2. Step 2: Convert to fraction form
    277,558/654,997 = 654,997/x
  3. Step 3: Cross multiply
    277,558x = 654,997 × 654,997
  4. Step 4: Simplify right side
    277,558x = 429,021,070,009
  5. Step 5: Solve for x
    x = 429,021,070,009/277,558
  6. Step 6: Final answer
    x = 1,545,698.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.