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Finding the Third Proportional to 507.52 and 759.23

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Solution

The third proportional to 507.52 and 759.23 is: 1,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 759.23 = 759.23 : x
  2. Step 2: Convert to fraction form
    507.52/759.23 = 759.23/x
  3. Step 3: Cross multiply
    507.52x = 759.23 × 759.23
  4. Step 4: Simplify right side
    507.52x = 576,436.84
  5. Step 5: Solve for x
    x = 576,436.84/507.52
  6. Step 6: Final answer
    x = 1,135.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.