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Finding the Third Proportional to 599.06 and 1,309.38

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Solution

The third proportional to 599.06 and 1,309.38 is: 2,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.06 : 1,309.38 = 1,309.38 : x
  2. Step 2: Convert to fraction form
    599.06/1,309.38 = 1,309.38/x
  3. Step 3: Cross multiply
    599.06x = 1,309.38 × 1,309.38
  4. Step 4: Simplify right side
    599.06x = 1,714,462.89
  5. Step 5: Solve for x
    x = 1,714,462.89/599.06
  6. Step 6: Final answer
    x = 2,861.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.