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Finding the Third Proportional to 333,578 and 717,817

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Solution

The third proportional to 333,578 and 717,817 is: 1,544,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,578 : 717,817 = 717,817 : x
  2. Step 2: Convert to fraction form
    333,578/717,817 = 717,817/x
  3. Step 3: Cross multiply
    333,578x = 717,817 × 717,817
  4. Step 4: Simplify right side
    333,578x = 515,261,245,489
  5. Step 5: Solve for x
    x = 515,261,245,489/333,578
  6. Step 6: Final answer
    x = 1,544,649.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.