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Finding the Third Proportional to 698.50 and 995.75

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Solution

The third proportional to 698.50 and 995.75 is: 1,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 995.75 = 995.75 : x
  2. Step 2: Convert to fraction form
    698.50/995.75 = 995.75/x
  3. Step 3: Cross multiply
    698.50x = 995.75 × 995.75
  4. Step 4: Simplify right side
    698.50x = 991,518.06
  5. Step 5: Solve for x
    x = 991,518.06/698.50
  6. Step 6: Final answer
    x = 1,419.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.