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Finding the Third Proportional to 900.94 and 1,338.47

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Solution

The third proportional to 900.94 and 1,338.47 is: 1,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.94 : 1,338.47 = 1,338.47 : x
  2. Step 2: Convert to fraction form
    900.94/1,338.47 = 1,338.47/x
  3. Step 3: Cross multiply
    900.94x = 1,338.47 × 1,338.47
  4. Step 4: Simplify right side
    900.94x = 1,791,498.59
  5. Step 5: Solve for x
    x = 1,791,498.59/900.94
  6. Step 6: Final answer
    x = 1,988.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.