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Finding the Third Proportional to 244,288 and 538,270

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Solution

The third proportional to 244,288 and 538,270 is: 1,186,036.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,288 : 538,270 = 538,270 : x
  2. Step 2: Convert to fraction form
    244,288/538,270 = 538,270/x
  3. Step 3: Cross multiply
    244,288x = 538,270 × 538,270
  4. Step 4: Simplify right side
    244,288x = 289,734,592,900
  5. Step 5: Solve for x
    x = 289,734,592,900/244,288
  6. Step 6: Final answer
    x = 1,186,036.94

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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.