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Finding the Third Proportional to 514.78 and 770.06

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Solution

The third proportional to 514.78 and 770.06 is: 1,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.78 : 770.06 = 770.06 : x
  2. Step 2: Convert to fraction form
    514.78/770.06 = 770.06/x
  3. Step 3: Cross multiply
    514.78x = 770.06 × 770.06
  4. Step 4: Simplify right side
    514.78x = 592,996.25
  5. Step 5: Solve for x
    x = 592,996.25/514.78
  6. Step 6: Final answer
    x = 1,151.94

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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.