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Finding the Third Proportional to 277,251 and 440,716.50

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Solution

The third proportional to 277,251 and 440,716.50 is: 700,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,251 : 440,716.50 = 440,716.50 : x
  2. Step 2: Convert to fraction form
    277,251/440,716.50 = 440,716.50/x
  3. Step 3: Cross multiply
    277,251x = 440,716.50 × 440,716.50
  4. Step 4: Simplify right side
    277,251x = 194,231,033,372.25
  5. Step 5: Solve for x
    x = 194,231,033,372.25/277,251
  6. Step 6: Final answer
    x = 700,560.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.