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Finding the Third Proportional to 898.44 and 1,903.66

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Solution

The third proportional to 898.44 and 1,903.66 is: 4,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.44 : 1,903.66 = 1,903.66 : x
  2. Step 2: Convert to fraction form
    898.44/1,903.66 = 1,903.66/x
  3. Step 3: Cross multiply
    898.44x = 1,903.66 × 1,903.66
  4. Step 4: Simplify right side
    898.44x = 3,623,914.55
  5. Step 5: Solve for x
    x = 3,623,914.55/898.44
  6. Step 6: Final answer
    x = 4,033.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.