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Finding the Third Proportional to 244,721 and 502,617

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Solution

The third proportional to 244,721 and 502,617 is: 1,032,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,721 : 502,617 = 502,617 : x
  2. Step 2: Convert to fraction form
    244,721/502,617 = 502,617/x
  3. Step 3: Cross multiply
    244,721x = 502,617 × 502,617
  4. Step 4: Simplify right side
    244,721x = 252,623,848,689
  5. Step 5: Solve for x
    x = 252,623,848,689/244,721
  6. Step 6: Final answer
    x = 1,032,293.30

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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.