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Finding the Third Proportional to 278,136 and 600,615

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Solution

The third proportional to 278,136 and 600,615 is: 1,296,985.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,136 : 600,615 = 600,615 : x
  2. Step 2: Convert to fraction form
    278,136/600,615 = 600,615/x
  3. Step 3: Cross multiply
    278,136x = 600,615 × 600,615
  4. Step 4: Simplify right side
    278,136x = 360,738,378,225
  5. Step 5: Solve for x
    x = 360,738,378,225/278,136
  6. Step 6: Final answer
    x = 1,296,985.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.