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Finding the Third Proportional to 248,363.50 and 539,940.50

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Solution

The third proportional to 248,363.50 and 539,940.50 is: 1,173,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,363.50 : 539,940.50 = 539,940.50 : x
  2. Step 2: Convert to fraction form
    248,363.50/539,940.50 = 539,940.50/x
  3. Step 3: Cross multiply
    248,363.50x = 539,940.50 × 539,940.50
  4. Step 4: Simplify right side
    248,363.50x = 291,535,743,540.25
  5. Step 5: Solve for x
    x = 291,535,743,540.25/248,363.50
  6. Step 6: Final answer
    x = 1,173,826.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.