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Finding the Third Proportional to 773.93 and 1,684.55

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Solution

The third proportional to 773.93 and 1,684.55 is: 3,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.93 : 1,684.55 = 1,684.55 : x
  2. Step 2: Convert to fraction form
    773.93/1,684.55 = 1,684.55/x
  3. Step 3: Cross multiply
    773.93x = 1,684.55 × 1,684.55
  4. Step 4: Simplify right side
    773.93x = 2,837,698.17
  5. Step 5: Solve for x
    x = 2,837,698.17/773.93
  6. Step 6: Final answer
    x = 3,666.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.