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Finding the Third Proportional to 347,256 and 737,144

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Solution

The third proportional to 347,256 and 737,144 is: 1,564,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,256 : 737,144 = 737,144 : x
  2. Step 2: Convert to fraction form
    347,256/737,144 = 737,144/x
  3. Step 3: Cross multiply
    347,256x = 737,144 × 737,144
  4. Step 4: Simplify right side
    347,256x = 543,381,276,736
  5. Step 5: Solve for x
    x = 543,381,276,736/347,256
  6. Step 6: Final answer
    x = 1,564,785.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.