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Finding the Third Proportional to 333,783 and 739,635

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Solution

The third proportional to 333,783 and 739,635 is: 1,638,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,783 : 739,635 = 739,635 : x
  2. Step 2: Convert to fraction form
    333,783/739,635 = 739,635/x
  3. Step 3: Cross multiply
    333,783x = 739,635 × 739,635
  4. Step 4: Simplify right side
    333,783x = 547,059,933,225
  5. Step 5: Solve for x
    x = 547,059,933,225/333,783
  6. Step 6: Final answer
    x = 1,638,968.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.