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Finding the Third Proportional to 901.41 and 1,317.09

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Solution

The third proportional to 901.41 and 1,317.09 is: 1,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.41 : 1,317.09 = 1,317.09 : x
  2. Step 2: Convert to fraction form
    901.41/1,317.09 = 1,317.09/x
  3. Step 3: Cross multiply
    901.41x = 1,317.09 × 1,317.09
  4. Step 4: Simplify right side
    901.41x = 1,734,735.95
  5. Step 5: Solve for x
    x = 1,734,735.95/901.41
  6. Step 6: Final answer
    x = 1,924.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.