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Finding the Third Proportional to 341,514 and 734,691

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Solution

The third proportional to 341,514 and 734,691 is: 1,580,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,514 : 734,691 = 734,691 : x
  2. Step 2: Convert to fraction form
    341,514/734,691 = 734,691/x
  3. Step 3: Cross multiply
    341,514x = 734,691 × 734,691
  4. Step 4: Simplify right side
    341,514x = 539,770,865,481
  5. Step 5: Solve for x
    x = 539,770,865,481/341,514
  6. Step 6: Final answer
    x = 1,580,523.39

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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.