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Finding the Third Proportional to 645.19 and 909.84

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Solution

The third proportional to 645.19 and 909.84 is: 1,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.19 : 909.84 = 909.84 : x
  2. Step 2: Convert to fraction form
    645.19/909.84 = 909.84/x
  3. Step 3: Cross multiply
    645.19x = 909.84 × 909.84
  4. Step 4: Simplify right side
    645.19x = 827,815.65
  5. Step 5: Solve for x
    x = 827,815.65/645.19
  6. Step 6: Final answer
    x = 1,283.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.