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Finding the Third Proportional to 524,652 and 793,218

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Solution

The third proportional to 524,652 and 793,218 is: 1,199,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,652 : 793,218 = 793,218 : x
  2. Step 2: Convert to fraction form
    524,652/793,218 = 793,218/x
  3. Step 3: Cross multiply
    524,652x = 793,218 × 793,218
  4. Step 4: Simplify right side
    524,652x = 629,194,795,524
  5. Step 5: Solve for x
    x = 629,194,795,524/524,652
  6. Step 6: Final answer
    x = 1,199,261.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.