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Finding the Third Proportional to 333,606 and 516,366

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Solution

The third proportional to 333,606 and 516,366 is: 799,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,606 : 516,366 = 516,366 : x
  2. Step 2: Convert to fraction form
    333,606/516,366 = 516,366/x
  3. Step 3: Cross multiply
    333,606x = 516,366 × 516,366
  4. Step 4: Simplify right side
    333,606x = 266,633,845,956
  5. Step 5: Solve for x
    x = 266,633,845,956/333,606
  6. Step 6: Final answer
    x = 799,247.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.