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Finding the Third Proportional to 570,218 and 797,198

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Solution

The third proportional to 570,218 and 797,198 is: 1,114,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,218 : 797,198 = 797,198 : x
  2. Step 2: Convert to fraction form
    570,218/797,198 = 797,198/x
  3. Step 3: Cross multiply
    570,218x = 797,198 × 797,198
  4. Step 4: Simplify right side
    570,218x = 635,524,651,204
  5. Step 5: Solve for x
    x = 635,524,651,204/570,218
  6. Step 6: Final answer
    x = 1,114,529.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.