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Finding the Third Proportional to 339,503 and 737,413

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Solution

The third proportional to 339,503 and 737,413 is: 1,601,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,503 : 737,413 = 737,413 : x
  2. Step 2: Convert to fraction form
    339,503/737,413 = 737,413/x
  3. Step 3: Cross multiply
    339,503x = 737,413 × 737,413
  4. Step 4: Simplify right side
    339,503x = 543,777,932,569
  5. Step 5: Solve for x
    x = 543,777,932,569/339,503
  6. Step 6: Final answer
    x = 1,601,688.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.