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Finding the Third Proportional to 283,292.44 and 427,671.56

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Solution

The third proportional to 283,292.44 and 427,671.56 is: 645,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,292.44 : 427,671.56 = 427,671.56 : x
  2. Step 2: Convert to fraction form
    283,292.44/427,671.56 = 427,671.56/x
  3. Step 3: Cross multiply
    283,292.44x = 427,671.56 × 427,671.56
  4. Step 4: Simplify right side
    283,292.44x = 182,902,965,371.19
  5. Step 5: Solve for x
    x = 182,902,965,371.19/283,292.44
  6. Step 6: Final answer
    x = 645,633.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.