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Finding the Third Proportional to 411 and 614.63

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Solution

The third proportional to 411 and 614.63 is: 919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 614.63 = 614.63 : x
  2. Step 2: Convert to fraction form
    411/614.63 = 614.63/x
  3. Step 3: Cross multiply
    411x = 614.63 × 614.63
  4. Step 4: Simplify right side
    411x = 377,763.89
  5. Step 5: Solve for x
    x = 377,763.89/411
  6. Step 6: Final answer
    x = 919.13

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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.