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Finding the Third Proportional to 290,219.20 and 439,717.99

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Solution

The third proportional to 290,219.20 and 439,717.99 is: 666,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,219.20 : 439,717.99 = 439,717.99 : x
  2. Step 2: Convert to fraction form
    290,219.20/439,717.99 = 439,717.99/x
  3. Step 3: Cross multiply
    290,219.20x = 439,717.99 × 439,717.99
  4. Step 4: Simplify right side
    290,219.20x = 193,351,912,653.41
  5. Step 5: Solve for x
    x = 193,351,912,653.41/290,219.20
  6. Step 6: Final answer
    x = 666,227.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.