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Finding the Third Proportional to 240,901.50 and 518,802

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Solution

The third proportional to 240,901.50 and 518,802 is: 1,117,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,901.50 : 518,802 = 518,802 : x
  2. Step 2: Convert to fraction form
    240,901.50/518,802 = 518,802/x
  3. Step 3: Cross multiply
    240,901.50x = 518,802 × 518,802
  4. Step 4: Simplify right side
    240,901.50x = 269,155,515,204
  5. Step 5: Solve for x
    x = 269,155,515,204/240,901.50
  6. Step 6: Final answer
    x = 1,117,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.