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Finding the Third Proportional to 339,492 and 737,371

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Solution

The third proportional to 339,492 and 737,371 is: 1,601,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,492 : 737,371 = 737,371 : x
  2. Step 2: Convert to fraction form
    339,492/737,371 = 737,371/x
  3. Step 3: Cross multiply
    339,492x = 737,371 × 737,371
  4. Step 4: Simplify right side
    339,492x = 543,715,991,641
  5. Step 5: Solve for x
    x = 543,715,991,641/339,492
  6. Step 6: Final answer
    x = 1,601,557.60

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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.