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Finding the Third Proportional to 267,437 and 569,218

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Solution

The third proportional to 267,437 and 569,218 is: 1,211,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,437 : 569,218 = 569,218 : x
  2. Step 2: Convert to fraction form
    267,437/569,218 = 569,218/x
  3. Step 3: Cross multiply
    267,437x = 569,218 × 569,218
  4. Step 4: Simplify right side
    267,437x = 324,009,131,524
  5. Step 5: Solve for x
    x = 324,009,131,524/267,437
  6. Step 6: Final answer
    x = 1,211,534.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.