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Finding the Third Proportional to 239,722 and 502,407

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Solution

The third proportional to 239,722 and 502,407 is: 1,052,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,722 : 502,407 = 502,407 : x
  2. Step 2: Convert to fraction form
    239,722/502,407 = 502,407/x
  3. Step 3: Cross multiply
    239,722x = 502,407 × 502,407
  4. Step 4: Simplify right side
    239,722x = 252,412,793,649
  5. Step 5: Solve for x
    x = 252,412,793,649/239,722
  6. Step 6: Final answer
    x = 1,052,939.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.