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Finding the Third Proportional to 854.06 and 1,306.03

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Solution

The third proportional to 854.06 and 1,306.03 is: 1,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.06 : 1,306.03 = 1,306.03 : x
  2. Step 2: Convert to fraction form
    854.06/1,306.03 = 1,306.03/x
  3. Step 3: Cross multiply
    854.06x = 1,306.03 × 1,306.03
  4. Step 4: Simplify right side
    854.06x = 1,705,717.63
  5. Step 5: Solve for x
    x = 1,705,717.63/854.06
  6. Step 6: Final answer
    x = 1,997.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.