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Finding the Third Proportional to 362,175.50 and 491,882

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Solution

The third proportional to 362,175.50 and 491,882 is: 668,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,175.50 : 491,882 = 491,882 : x
  2. Step 2: Convert to fraction form
    362,175.50/491,882 = 491,882/x
  3. Step 3: Cross multiply
    362,175.50x = 491,882 × 491,882
  4. Step 4: Simplify right side
    362,175.50x = 241,947,901,924
  5. Step 5: Solve for x
    x = 241,947,901,924/362,175.50
  6. Step 6: Final answer
    x = 668,040.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.