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Finding the Third Proportional to 906.19 and 973.69

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Solution

The third proportional to 906.19 and 973.69 is: 1,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 973.69 = 973.69 : x
  2. Step 2: Convert to fraction form
    906.19/973.69 = 973.69/x
  3. Step 3: Cross multiply
    906.19x = 973.69 × 973.69
  4. Step 4: Simplify right side
    906.19x = 948,067.35
  5. Step 5: Solve for x
    x = 948,067.35/906.19
  6. Step 6: Final answer
    x = 1,046.22

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.