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Finding the Third Proportional to 351,198 and 501,882

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Solution

The third proportional to 351,198 and 501,882 is: 717,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,198 : 501,882 = 501,882 : x
  2. Step 2: Convert to fraction form
    351,198/501,882 = 501,882/x
  3. Step 3: Cross multiply
    351,198x = 501,882 × 501,882
  4. Step 4: Simplify right side
    351,198x = 251,885,541,924
  5. Step 5: Solve for x
    x = 251,885,541,924/351,198
  6. Step 6: Final answer
    x = 717,218.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.