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Finding the Third Proportional to 244,278 and 538,249.50

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Solution

The third proportional to 244,278 and 538,249.50 is: 1,185,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,278 : 538,249.50 = 538,249.50 : x
  2. Step 2: Convert to fraction form
    244,278/538,249.50 = 538,249.50/x
  3. Step 3: Cross multiply
    244,278x = 538,249.50 × 538,249.50
  4. Step 4: Simplify right side
    244,278x = 289,712,524,250.25
  5. Step 5: Solve for x
    x = 289,712,524,250.25/244,278
  6. Step 6: Final answer
    x = 1,185,995.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.