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Finding the Third Proportional to 283,612 and 444,966

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Solution

The third proportional to 283,612 and 444,966 is: 698,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,612 : 444,966 = 444,966 : x
  2. Step 2: Convert to fraction form
    283,612/444,966 = 444,966/x
  3. Step 3: Cross multiply
    283,612x = 444,966 × 444,966
  4. Step 4: Simplify right side
    283,612x = 197,994,741,156
  5. Step 5: Solve for x
    x = 197,994,741,156/283,612
  6. Step 6: Final answer
    x = 698,118.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.