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Finding the Third Proportional to 333,864 and 511,848

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Solution

The third proportional to 333,864 and 511,848 is: 784,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,864 : 511,848 = 511,848 : x
  2. Step 2: Convert to fraction form
    333,864/511,848 = 511,848/x
  3. Step 3: Cross multiply
    333,864x = 511,848 × 511,848
  4. Step 4: Simplify right side
    333,864x = 261,988,375,104
  5. Step 5: Solve for x
    x = 261,988,375,104/333,864
  6. Step 6: Final answer
    x = 784,715.86

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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.