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Finding the Third Proportional to 901.69 and 1,311.47

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Solution

The third proportional to 901.69 and 1,311.47 is: 1,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.69 : 1,311.47 = 1,311.47 : x
  2. Step 2: Convert to fraction form
    901.69/1,311.47 = 1,311.47/x
  3. Step 3: Cross multiply
    901.69x = 1,311.47 × 1,311.47
  4. Step 4: Simplify right side
    901.69x = 1,719,950.28
  5. Step 5: Solve for x
    x = 1,719,950.28/901.69
  6. Step 6: Final answer
    x = 1,907.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.