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Finding the Third Proportional to 513.28 and 770.34

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Solution

The third proportional to 513.28 and 770.34 is: 1,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.28 : 770.34 = 770.34 : x
  2. Step 2: Convert to fraction form
    513.28/770.34 = 770.34/x
  3. Step 3: Cross multiply
    513.28x = 770.34 × 770.34
  4. Step 4: Simplify right side
    513.28x = 593,429.49
  5. Step 5: Solve for x
    x = 593,429.49/513.28
  6. Step 6: Final answer
    x = 1,156.15

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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.