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Finding the Third Proportional to 850.50 and 1,314.38

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Solution

The third proportional to 850.50 and 1,314.38 is: 2,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.50 : 1,314.38 = 1,314.38 : x
  2. Step 2: Convert to fraction form
    850.50/1,314.38 = 1,314.38/x
  3. Step 3: Cross multiply
    850.50x = 1,314.38 × 1,314.38
  4. Step 4: Simplify right side
    850.50x = 1,727,581.64
  5. Step 5: Solve for x
    x = 1,727,581.64/850.50
  6. Step 6: Final answer
    x = 2,031.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.