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Finding the Third Proportional to 397,250 and 555,675

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Solution

The third proportional to 397,250 and 555,675 is: 777,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,250 : 555,675 = 555,675 : x
  2. Step 2: Convert to fraction form
    397,250/555,675 = 555,675/x
  3. Step 3: Cross multiply
    397,250x = 555,675 × 555,675
  4. Step 4: Simplify right side
    397,250x = 308,774,705,625
  5. Step 5: Solve for x
    x = 308,774,705,625/397,250
  6. Step 6: Final answer
    x = 777,280.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.