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Finding the Third Proportional to 514.13 and 770.63

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Solution

The third proportional to 514.13 and 770.63 is: 1,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 770.63 = 770.63 : x
  2. Step 2: Convert to fraction form
    514.13/770.63 = 770.63/x
  3. Step 3: Cross multiply
    514.13x = 770.63 × 770.63
  4. Step 4: Simplify right side
    514.13x = 593,862.89
  5. Step 5: Solve for x
    x = 593,862.89/514.13
  6. Step 6: Final answer
    x = 1,155.09

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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.