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Finding the Third Proportional to 278,815.50 and 443,136

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Solution

The third proportional to 278,815.50 and 443,136 is: 704,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,815.50 : 443,136 = 443,136 : x
  2. Step 2: Convert to fraction form
    278,815.50/443,136 = 443,136/x
  3. Step 3: Cross multiply
    278,815.50x = 443,136 × 443,136
  4. Step 4: Simplify right side
    278,815.50x = 196,369,514,496
  5. Step 5: Solve for x
    x = 196,369,514,496/278,815.50
  6. Step 6: Final answer
    x = 704,299.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.