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Finding the Third Proportional to 534.09 and 712.55

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Solution

The third proportional to 534.09 and 712.55 is: 950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 712.55 = 712.55 : x
  2. Step 2: Convert to fraction form
    534.09/712.55 = 712.55/x
  3. Step 3: Cross multiply
    534.09x = 712.55 × 712.55
  4. Step 4: Simplify right side
    534.09x = 507,723.05
  5. Step 5: Solve for x
    x = 507,723.05/534.09
  6. Step 6: Final answer
    x = 950.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.