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Finding the Third Proportional to 311,168.25 and 469,614.75

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Solution

The third proportional to 311,168.25 and 469,614.75 is: 708,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,168.25 : 469,614.75 = 469,614.75 : x
  2. Step 2: Convert to fraction form
    311,168.25/469,614.75 = 469,614.75/x
  3. Step 3: Cross multiply
    311,168.25x = 469,614.75 × 469,614.75
  4. Step 4: Simplify right side
    311,168.25x = 220,538,013,417.56
  5. Step 5: Solve for x
    x = 220,538,013,417.56/311,168.25
  6. Step 6: Final answer
    x = 708,742.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.