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Finding the Third Proportional to 244,617 and 538,893

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Solution

The third proportional to 244,617 and 538,893 is: 1,187,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,617 : 538,893 = 538,893 : x
  2. Step 2: Convert to fraction form
    244,617/538,893 = 538,893/x
  3. Step 3: Cross multiply
    244,617x = 538,893 × 538,893
  4. Step 4: Simplify right side
    244,617x = 290,405,665,449
  5. Step 5: Solve for x
    x = 290,405,665,449/244,617
  6. Step 6: Final answer
    x = 1,187,185.13

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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.