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Finding the Third Proportional to 278,790 and 443,106

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Solution

The third proportional to 278,790 and 443,106 is: 704,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,790 : 443,106 = 443,106 : x
  2. Step 2: Convert to fraction form
    278,790/443,106 = 443,106/x
  3. Step 3: Cross multiply
    278,790x = 443,106 × 443,106
  4. Step 4: Simplify right side
    278,790x = 196,342,927,236
  5. Step 5: Solve for x
    x = 196,342,927,236/278,790
  6. Step 6: Final answer
    x = 704,268.18

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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.