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Finding the Third Proportional to 713.65 and 1,655.36

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Solution

The third proportional to 713.65 and 1,655.36 is: 3,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.65 : 1,655.36 = 1,655.36 : x
  2. Step 2: Convert to fraction form
    713.65/1,655.36 = 1,655.36/x
  3. Step 3: Cross multiply
    713.65x = 1,655.36 × 1,655.36
  4. Step 4: Simplify right side
    713.65x = 2,740,211.43
  5. Step 5: Solve for x
    x = 2,740,211.43/713.65
  6. Step 6: Final answer
    x = 3,839.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.