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Finding the Third Proportional to 577 and 852.50

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Solution

The third proportional to 577 and 852.50 is: 1,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577 : 852.50 = 852.50 : x
  2. Step 2: Convert to fraction form
    577/852.50 = 852.50/x
  3. Step 3: Cross multiply
    577x = 852.50 × 852.50
  4. Step 4: Simplify right side
    577x = 726,756.25
  5. Step 5: Solve for x
    x = 726,756.25/577
  6. Step 6: Final answer
    x = 1,259.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.