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Finding the Third Proportional to 708.19 and 1,494.56

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Solution

The third proportional to 708.19 and 1,494.56 is: 3,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.19 : 1,494.56 = 1,494.56 : x
  2. Step 2: Convert to fraction form
    708.19/1,494.56 = 1,494.56/x
  3. Step 3: Cross multiply
    708.19x = 1,494.56 × 1,494.56
  4. Step 4: Simplify right side
    708.19x = 2,233,717.07
  5. Step 5: Solve for x
    x = 2,233,717.07/708.19
  6. Step 6: Final answer
    x = 3,154.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.