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Finding the Third Proportional to 340,356 and 731,256

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Solution

The third proportional to 340,356 and 731,256 is: 1,571,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,356 : 731,256 = 731,256 : x
  2. Step 2: Convert to fraction form
    340,356/731,256 = 731,256/x
  3. Step 3: Cross multiply
    340,356x = 731,256 × 731,256
  4. Step 4: Simplify right side
    340,356x = 534,735,337,536
  5. Step 5: Solve for x
    x = 534,735,337,536/340,356
  6. Step 6: Final answer
    x = 1,571,105.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.