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Finding the Third Proportional to 985.08 and 1,314.42

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Solution

The third proportional to 985.08 and 1,314.42 is: 1,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.08 : 1,314.42 = 1,314.42 : x
  2. Step 2: Convert to fraction form
    985.08/1,314.42 = 1,314.42/x
  3. Step 3: Cross multiply
    985.08x = 1,314.42 × 1,314.42
  4. Step 4: Simplify right side
    985.08x = 1,727,704.87
  5. Step 5: Solve for x
    x = 1,727,704.87/985.08
  6. Step 6: Final answer
    x = 1,753.88

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Why These Related Problems?

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