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Finding the Third Proportional to 341,208 and 734,256

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Solution

The third proportional to 341,208 and 734,256 is: 1,580,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,208 : 734,256 = 734,256 : x
  2. Step 2: Convert to fraction form
    341,208/734,256 = 734,256/x
  3. Step 3: Cross multiply
    341,208x = 734,256 × 734,256
  4. Step 4: Simplify right side
    341,208x = 539,131,873,536
  5. Step 5: Solve for x
    x = 539,131,873,536/341,208
  6. Step 6: Final answer
    x = 1,580,068.09

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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.