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Finding the Third Proportional to 713.91 and 1,549.06

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Solution

The third proportional to 713.91 and 1,549.06 is: 3,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.91 : 1,549.06 = 1,549.06 : x
  2. Step 2: Convert to fraction form
    713.91/1,549.06 = 1,549.06/x
  3. Step 3: Cross multiply
    713.91x = 1,549.06 × 1,549.06
  4. Step 4: Simplify right side
    713.91x = 2,399,594.63
  5. Step 5: Solve for x
    x = 2,399,594.63/713.91
  6. Step 6: Final answer
    x = 3,361.22

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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.