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Finding the Third Proportional to 596.16 and 1,291.56

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Solution

The third proportional to 596.16 and 1,291.56 is: 2,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 1,291.56 = 1,291.56 : x
  2. Step 2: Convert to fraction form
    596.16/1,291.56 = 1,291.56/x
  3. Step 3: Cross multiply
    596.16x = 1,291.56 × 1,291.56
  4. Step 4: Simplify right side
    596.16x = 1,668,133.69
  5. Step 5: Solve for x
    x = 1,668,133.69/596.16
  6. Step 6: Final answer
    x = 2,798.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.