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Finding the Third Proportional to 920.50 and 1,706.46

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Solution

The third proportional to 920.50 and 1,706.46 is: 3,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.50 : 1,706.46 = 1,706.46 : x
  2. Step 2: Convert to fraction form
    920.50/1,706.46 = 1,706.46/x
  3. Step 3: Cross multiply
    920.50x = 1,706.46 × 1,706.46
  4. Step 4: Simplify right side
    920.50x = 2,911,998.93
  5. Step 5: Solve for x
    x = 2,911,998.93/920.50
  6. Step 6: Final answer
    x = 3,163.48

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.