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Finding the Third Proportional to 404,269.50 and 890,567

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Solution

The third proportional to 404,269.50 and 890,567 is: 1,961,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,269.50 : 890,567 = 890,567 : x
  2. Step 2: Convert to fraction form
    404,269.50/890,567 = 890,567/x
  3. Step 3: Cross multiply
    404,269.50x = 890,567 × 890,567
  4. Step 4: Simplify right side
    404,269.50x = 793,109,581,489
  5. Step 5: Solve for x
    x = 793,109,581,489/404,269.50
  6. Step 6: Final answer
    x = 1,961,833.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.