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Finding the Third Proportional to 1,065.23 and 1,498.92

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Solution

The third proportional to 1,065.23 and 1,498.92 is: 2,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.23 : 1,498.92 = 1,498.92 : x
  2. Step 2: Convert to fraction form
    1,065.23/1,498.92 = 1,498.92/x
  3. Step 3: Cross multiply
    1,065.23x = 1,498.92 × 1,498.92
  4. Step 4: Simplify right side
    1,065.23x = 2,246,766.79
  5. Step 5: Solve for x
    x = 2,246,766.79/1,065.23
  6. Step 6: Final answer
    x = 2,109.18

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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.