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Finding the Third Proportional to 798.54 and 1,723.71

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Solution

The third proportional to 798.54 and 1,723.71 is: 3,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,723.71 = 1,723.71 : x
  2. Step 2: Convert to fraction form
    798.54/1,723.71 = 1,723.71/x
  3. Step 3: Cross multiply
    798.54x = 1,723.71 × 1,723.71
  4. Step 4: Simplify right side
    798.54x = 2,971,179.40
  5. Step 5: Solve for x
    x = 2,971,179.40/798.54
  6. Step 6: Final answer
    x = 3,720.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.