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Finding the Third Proportional to 602.16 and 1,306.81

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Solution

The third proportional to 602.16 and 1,306.81 is: 2,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 1,306.81 = 1,306.81 : x
  2. Step 2: Convert to fraction form
    602.16/1,306.81 = 1,306.81/x
  3. Step 3: Cross multiply
    602.16x = 1,306.81 × 1,306.81
  4. Step 4: Simplify right side
    602.16x = 1,707,758.91
  5. Step 5: Solve for x
    x = 1,707,758.91/602.16
  6. Step 6: Final answer
    x = 2,836.07

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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.