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Finding the Third Proportional to 233,818 and 511,372

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Solution

The third proportional to 233,818 and 511,372 is: 1,118,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,818 : 511,372 = 511,372 : x
  2. Step 2: Convert to fraction form
    233,818/511,372 = 511,372/x
  3. Step 3: Cross multiply
    233,818x = 511,372 × 511,372
  4. Step 4: Simplify right side
    233,818x = 261,501,322,384
  5. Step 5: Solve for x
    x = 261,501,322,384/233,818
  6. Step 6: Final answer
    x = 1,118,396.88

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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.