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Finding the Third Proportional to 904.50 and 1,986.19

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Solution

The third proportional to 904.50 and 1,986.19 is: 4,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.50 : 1,986.19 = 1,986.19 : x
  2. Step 2: Convert to fraction form
    904.50/1,986.19 = 1,986.19/x
  3. Step 3: Cross multiply
    904.50x = 1,986.19 × 1,986.19
  4. Step 4: Simplify right side
    904.50x = 3,944,940.79
  5. Step 5: Solve for x
    x = 3,944,940.79/904.50
  6. Step 6: Final answer
    x = 4,361.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.