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Finding the Third Proportional to 361,315.69 and 854,484.19

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Solution

The third proportional to 361,315.69 and 854,484.19 is: 2,020,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,315.69 : 854,484.19 = 854,484.19 : x
  2. Step 2: Convert to fraction form
    361,315.69/854,484.19 = 854,484.19/x
  3. Step 3: Cross multiply
    361,315.69x = 854,484.19 × 854,484.19
  4. Step 4: Simplify right side
    361,315.69x = 730,143,226,687.54
  5. Step 5: Solve for x
    x = 730,143,226,687.54/361,315.69
  6. Step 6: Final answer
    x = 2,020,790.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.