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Finding the Third Proportional to 283,340.53 and 427,738.22

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Solution

The third proportional to 283,340.53 and 427,738.22 is: 645,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,340.53 : 427,738.22 = 427,738.22 : x
  2. Step 2: Convert to fraction form
    283,340.53/427,738.22 = 427,738.22/x
  3. Step 3: Cross multiply
    283,340.53x = 427,738.22 × 427,738.22
  4. Step 4: Simplify right side
    283,340.53x = 182,959,983,779.42
  5. Step 5: Solve for x
    x = 182,959,983,779.42/283,340.53
  6. Step 6: Final answer
    x = 645,724.71

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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.