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Finding the Third Proportional to 276,777 and 414,618.75

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Solution

The third proportional to 276,777 and 414,618.75 is: 621,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,777 : 414,618.75 = 414,618.75 : x
  2. Step 2: Convert to fraction form
    276,777/414,618.75 = 414,618.75/x
  3. Step 3: Cross multiply
    276,777x = 414,618.75 × 414,618.75
  4. Step 4: Simplify right side
    276,777x = 171,908,707,851.56
  5. Step 5: Solve for x
    x = 171,908,707,851.56/276,777
  6. Step 6: Final answer
    x = 621,109.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.