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Finding the Third Proportional to 502 and 995.75

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Solution

The third proportional to 502 and 995.75 is: 1,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 995.75 = 995.75 : x
  2. Step 2: Convert to fraction form
    502/995.75 = 995.75/x
  3. Step 3: Cross multiply
    502x = 995.75 × 995.75
  4. Step 4: Simplify right side
    502x = 991,518.06
  5. Step 5: Solve for x
    x = 991,518.06/502
  6. Step 6: Final answer
    x = 1,975.14

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.