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Finding the Third Proportional to 1,349.06 and 1,798.69

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Solution

The third proportional to 1,349.06 and 1,798.69 is: 2,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.06 : 1,798.69 = 1,798.69 : x
  2. Step 2: Convert to fraction form
    1,349.06/1,798.69 = 1,798.69/x
  3. Step 3: Cross multiply
    1,349.06x = 1,798.69 × 1,798.69
  4. Step 4: Simplify right side
    1,349.06x = 3,235,276.72
  5. Step 5: Solve for x
    x = 3,235,276.72/1,349.06
  6. Step 6: Final answer
    x = 2,398.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.