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Finding the Third Proportional to 233,298 and 511,794

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Solution

The third proportional to 233,298 and 511,794 is: 1,122,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,298 : 511,794 = 511,794 : x
  2. Step 2: Convert to fraction form
    233,298/511,794 = 511,794/x
  3. Step 3: Cross multiply
    233,298x = 511,794 × 511,794
  4. Step 4: Simplify right side
    233,298x = 261,933,098,436
  5. Step 5: Solve for x
    x = 261,933,098,436/233,298
  6. Step 6: Final answer
    x = 1,122,740.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.