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Finding the Third Proportional to 283,780.34 and 424,888.82

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Solution

The third proportional to 283,780.34 and 424,888.82 is: 636,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,780.34 : 424,888.82 = 424,888.82 : x
  2. Step 2: Convert to fraction form
    283,780.34/424,888.82 = 424,888.82/x
  3. Step 3: Cross multiply
    283,780.34x = 424,888.82 × 424,888.82
  4. Step 4: Simplify right side
    283,780.34x = 180,530,511,286.27
  5. Step 5: Solve for x
    x = 180,530,511,286.27/283,780.34
  6. Step 6: Final answer
    x = 636,162.86

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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.