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Finding the Third Proportional to 341,214 and 734,268

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Solution

The third proportional to 341,214 and 734,268 is: 1,580,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,214 : 734,268 = 734,268 : x
  2. Step 2: Convert to fraction form
    341,214/734,268 = 734,268/x
  3. Step 3: Cross multiply
    341,214x = 734,268 × 734,268
  4. Step 4: Simplify right side
    341,214x = 539,149,495,824
  5. Step 5: Solve for x
    x = 539,149,495,824/341,214
  6. Step 6: Final answer
    x = 1,580,091.95

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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.