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Finding the Third Proportional to 596.81 and 1,227.94

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Solution

The third proportional to 596.81 and 1,227.94 is: 2,526.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.81 : 1,227.94 = 1,227.94 : x
  2. Step 2: Convert to fraction form
    596.81/1,227.94 = 1,227.94/x
  3. Step 3: Cross multiply
    596.81x = 1,227.94 × 1,227.94
  4. Step 4: Simplify right side
    596.81x = 1,507,830.50
  5. Step 5: Solve for x
    x = 1,507,830.50/596.81
  6. Step 6: Final answer
    x = 2,526.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.