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Finding the Third Proportional to 713.81 and 1,463.91

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Solution

The third proportional to 713.81 and 1,463.91 is: 3,002.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 1,463.91 = 1,463.91 : x
  2. Step 2: Convert to fraction form
    713.81/1,463.91 = 1,463.91/x
  3. Step 3: Cross multiply
    713.81x = 1,463.91 × 1,463.91
  4. Step 4: Simplify right side
    713.81x = 2,143,021.51
  5. Step 5: Solve for x
    x = 2,143,021.51/713.81
  6. Step 6: Final answer
    x = 3,002.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.