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Finding the Third Proportional to 509.75 and 799.50

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Solution

The third proportional to 509.75 and 799.50 is: 1,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 799.50 = 799.50 : x
  2. Step 2: Convert to fraction form
    509.75/799.50 = 799.50/x
  3. Step 3: Cross multiply
    509.75x = 799.50 × 799.50
  4. Step 4: Simplify right side
    509.75x = 639,200.25
  5. Step 5: Solve for x
    x = 639,200.25/509.75
  6. Step 6: Final answer
    x = 1,253.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.