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Finding the Third Proportional to 339,903 and 733,023

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Solution

The third proportional to 339,903 and 733,023 is: 1,580,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,903 : 733,023 = 733,023 : x
  2. Step 2: Convert to fraction form
    339,903/733,023 = 733,023/x
  3. Step 3: Cross multiply
    339,903x = 733,023 × 733,023
  4. Step 4: Simplify right side
    339,903x = 537,322,718,529
  5. Step 5: Solve for x
    x = 537,322,718,529/339,903
  6. Step 6: Final answer
    x = 1,580,811.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.