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Finding the Third Proportional to 509.63 and 762.33

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Solution

The third proportional to 509.63 and 762.33 is: 1,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 762.33 = 762.33 : x
  2. Step 2: Convert to fraction form
    509.63/762.33 = 762.33/x
  3. Step 3: Cross multiply
    509.63x = 762.33 × 762.33
  4. Step 4: Simplify right side
    509.63x = 581,144.17
  5. Step 5: Solve for x
    x = 581,144.17/509.63
  6. Step 6: Final answer
    x = 1,140.34

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