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Finding the Third Proportional to 311,004 and 467,691.75

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Solution

The third proportional to 311,004 and 467,691.75 is: 703,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,004 : 467,691.75 = 467,691.75 : x
  2. Step 2: Convert to fraction form
    311,004/467,691.75 = 467,691.75/x
  3. Step 3: Cross multiply
    311,004x = 467,691.75 × 467,691.75
  4. Step 4: Simplify right side
    311,004x = 218,735,573,018.06
  5. Step 5: Solve for x
    x = 218,735,573,018.06/311,004
  6. Step 6: Final answer
    x = 703,320.77

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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.