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Finding the Third Proportional to 514.13 and 600.19

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Solution

The third proportional to 514.13 and 600.19 is: 700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 600.19 = 600.19 : x
  2. Step 2: Convert to fraction form
    514.13/600.19 = 600.19/x
  3. Step 3: Cross multiply
    514.13x = 600.19 × 600.19
  4. Step 4: Simplify right side
    514.13x = 360,225.04
  5. Step 5: Solve for x
    x = 360,225.04/514.13
  6. Step 6: Final answer
    x = 700.66

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.