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Finding the Third Proportional to 988.03 and 1,541.95

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Solution

The third proportional to 988.03 and 1,541.95 is: 2,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.03 : 1,541.95 = 1,541.95 : x
  2. Step 2: Convert to fraction form
    988.03/1,541.95 = 1,541.95/x
  3. Step 3: Cross multiply
    988.03x = 1,541.95 × 1,541.95
  4. Step 4: Simplify right side
    988.03x = 2,377,619.44
  5. Step 5: Solve for x
    x = 2,377,619.44/988.03
  6. Step 6: Final answer
    x = 2,406.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.