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Finding the Third Proportional to 247,044 and 502,836

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Solution

The third proportional to 247,044 and 502,836 is: 1,023,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,044 : 502,836 = 502,836 : x
  2. Step 2: Convert to fraction form
    247,044/502,836 = 502,836/x
  3. Step 3: Cross multiply
    247,044x = 502,836 × 502,836
  4. Step 4: Simplify right side
    247,044x = 252,844,042,896
  5. Step 5: Solve for x
    x = 252,844,042,896/247,044
  6. Step 6: Final answer
    x = 1,023,477.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.