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Finding the Third Proportional to 284.06 and 596.81

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Solution

The third proportional to 284.06 and 596.81 is: 1,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.06 : 596.81 = 596.81 : x
  2. Step 2: Convert to fraction form
    284.06/596.81 = 596.81/x
  3. Step 3: Cross multiply
    284.06x = 596.81 × 596.81
  4. Step 4: Simplify right side
    284.06x = 356,185.16
  5. Step 5: Solve for x
    x = 356,185.16/284.06
  6. Step 6: Final answer
    x = 1,253.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.