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Finding the Third Proportional to 620.81 and 805.69

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Solution

The third proportional to 620.81 and 805.69 is: 1,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.81 : 805.69 = 805.69 : x
  2. Step 2: Convert to fraction form
    620.81/805.69 = 805.69/x
  3. Step 3: Cross multiply
    620.81x = 805.69 × 805.69
  4. Step 4: Simplify right side
    620.81x = 649,132.35
  5. Step 5: Solve for x
    x = 649,132.35/620.81
  6. Step 6: Final answer
    x = 1,045.62

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.