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Finding the Third Proportional to 277,731 and 372,305.25

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Solution

The third proportional to 277,731 and 372,305.25 is: 499,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,731 : 372,305.25 = 372,305.25 : x
  2. Step 2: Convert to fraction form
    277,731/372,305.25 = 372,305.25/x
  3. Step 3: Cross multiply
    277,731x = 372,305.25 × 372,305.25
  4. Step 4: Simplify right side
    277,731x = 138,611,199,177.56
  5. Step 5: Solve for x
    x = 138,611,199,177.56/277,731
  6. Step 6: Final answer
    x = 499,084.36

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.