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Finding the Third Proportional to 277,998 and 610,126

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Solution

The third proportional to 277,998 and 610,126 is: 1,339,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,998 : 610,126 = 610,126 : x
  2. Step 2: Convert to fraction form
    277,998/610,126 = 610,126/x
  3. Step 3: Cross multiply
    277,998x = 610,126 × 610,126
  4. Step 4: Simplify right side
    277,998x = 372,253,735,876
  5. Step 5: Solve for x
    x = 372,253,735,876/277,998
  6. Step 6: Final answer
    x = 1,339,051.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.