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Finding the Third Proportional to 251,799 and 543,811.50

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Solution

The third proportional to 251,799 and 543,811.50 is: 1,174,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,799 : 543,811.50 = 543,811.50 : x
  2. Step 2: Convert to fraction form
    251,799/543,811.50 = 543,811.50/x
  3. Step 3: Cross multiply
    251,799x = 543,811.50 × 543,811.50
  4. Step 4: Simplify right side
    251,799x = 295,730,947,532.25
  5. Step 5: Solve for x
    x = 295,730,947,532.25/251,799
  6. Step 6: Final answer
    x = 1,174,472.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.