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Finding the Third Proportional to 234,958.50 and 482,367

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Solution

The third proportional to 234,958.50 and 482,367 is: 990,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,958.50 : 482,367 = 482,367 : x
  2. Step 2: Convert to fraction form
    234,958.50/482,367 = 482,367/x
  3. Step 3: Cross multiply
    234,958.50x = 482,367 × 482,367
  4. Step 4: Simplify right side
    234,958.50x = 232,677,922,689
  5. Step 5: Solve for x
    x = 232,677,922,689/234,958.50
  6. Step 6: Final answer
    x = 990,293.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.