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Finding the Third Proportional to 383.48 and 514.00

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Solution

The third proportional to 383.48 and 514.00 is: 688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.48 : 514.00 = 514.00 : x
  2. Step 2: Convert to fraction form
    383.48/514.00 = 514.00/x
  3. Step 3: Cross multiply
    383.48x = 514.00 × 514.00
  4. Step 4: Simplify right side
    383.48x = 264,198.01
  5. Step 5: Solve for x
    x = 264,198.01/383.48
  6. Step 6: Final answer
    x = 688.94

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.