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Finding the Third Proportional to 244,731 and 502,638

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Solution

The third proportional to 244,731 and 502,638 is: 1,032,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,731 : 502,638 = 502,638 : x
  2. Step 2: Convert to fraction form
    244,731/502,638 = 502,638/x
  3. Step 3: Cross multiply
    244,731x = 502,638 × 502,638
  4. Step 4: Simplify right side
    244,731x = 252,644,959,044
  5. Step 5: Solve for x
    x = 252,644,959,044/244,731
  6. Step 6: Final answer
    x = 1,032,337.38

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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.