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Finding the Third Proportional to 244,270 and 538,240

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Solution

The third proportional to 244,270 and 538,240 is: 1,185,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,270 : 538,240 = 538,240 : x
  2. Step 2: Convert to fraction form
    244,270/538,240 = 538,240/x
  3. Step 3: Cross multiply
    244,270x = 538,240 × 538,240
  4. Step 4: Simplify right side
    244,270x = 289,702,297,600
  5. Step 5: Solve for x
    x = 289,702,297,600/244,270
  6. Step 6: Final answer
    x = 1,185,992.13

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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.