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Finding the Third Proportional to 233,361 and 511,926

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Solution

The third proportional to 233,361 and 511,926 is: 1,123,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,361 : 511,926 = 511,926 : x
  2. Step 2: Convert to fraction form
    233,361/511,926 = 511,926/x
  3. Step 3: Cross multiply
    233,361x = 511,926 × 511,926
  4. Step 4: Simplify right side
    233,361x = 262,068,229,476
  5. Step 5: Solve for x
    x = 262,068,229,476/233,361
  6. Step 6: Final answer
    x = 1,123,016.40

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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.