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Finding the Third Proportional to 339,516 and 737,442

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Solution

The third proportional to 339,516 and 737,442 is: 1,601,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,516 : 737,442 = 737,442 : x
  2. Step 2: Convert to fraction form
    339,516/737,442 = 737,442/x
  3. Step 3: Cross multiply
    339,516x = 737,442 × 737,442
  4. Step 4: Simplify right side
    339,516x = 543,820,703,364
  5. Step 5: Solve for x
    x = 543,820,703,364/339,516
  6. Step 6: Final answer
    x = 1,601,752.80

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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.