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Finding the Third Proportional to 476,340 and 737,238

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Solution

The third proportional to 476,340 and 737,238 is: 1,141,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,340 : 737,238 = 737,238 : x
  2. Step 2: Convert to fraction form
    476,340/737,238 = 737,238/x
  3. Step 3: Cross multiply
    476,340x = 737,238 × 737,238
  4. Step 4: Simplify right side
    476,340x = 543,519,868,644
  5. Step 5: Solve for x
    x = 543,519,868,644/476,340
  6. Step 6: Final answer
    x = 1,141,033.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.