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Finding the Third Proportional to 909.42 and 1,054.83

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Solution

The third proportional to 909.42 and 1,054.83 is: 1,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.42 : 1,054.83 = 1,054.83 : x
  2. Step 2: Convert to fraction form
    909.42/1,054.83 = 1,054.83/x
  3. Step 3: Cross multiply
    909.42x = 1,054.83 × 1,054.83
  4. Step 4: Simplify right side
    909.42x = 1,112,662.37
  5. Step 5: Solve for x
    x = 1,112,662.37/909.42
  6. Step 6: Final answer
    x = 1,223.48

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.