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Finding the Third Proportional to 333,882 and 511,866

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Solution

The third proportional to 333,882 and 511,866 is: 784,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,882 : 511,866 = 511,866 : x
  2. Step 2: Convert to fraction form
    333,882/511,866 = 511,866/x
  3. Step 3: Cross multiply
    333,882x = 511,866 × 511,866
  4. Step 4: Simplify right side
    333,882x = 262,006,801,956
  5. Step 5: Solve for x
    x = 262,006,801,956/333,882
  6. Step 6: Final answer
    x = 784,728.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.