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Finding the Third Proportional to 268,246 and 548,793.50

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Solution

The third proportional to 268,246 and 548,793.50 is: 1,122,754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,246 : 548,793.50 = 548,793.50 : x
  2. Step 2: Convert to fraction form
    268,246/548,793.50 = 548,793.50/x
  3. Step 3: Cross multiply
    268,246x = 548,793.50 × 548,793.50
  4. Step 4: Simplify right side
    268,246x = 301,174,305,642.25
  5. Step 5: Solve for x
    x = 301,174,305,642.25/268,246
  6. Step 6: Final answer
    x = 1,122,754.13

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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.