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Finding the Third Proportional to 244,717 and 502,609

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Solution

The third proportional to 244,717 and 502,609 is: 1,032,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,717 : 502,609 = 502,609 : x
  2. Step 2: Convert to fraction form
    244,717/502,609 = 502,609/x
  3. Step 3: Cross multiply
    244,717x = 502,609 × 502,609
  4. Step 4: Simplify right side
    244,717x = 252,615,806,881
  5. Step 5: Solve for x
    x = 252,615,806,881/244,717
  6. Step 6: Final answer
    x = 1,032,277.31

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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.