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Finding the Third Proportional to 342,294 and 763,293

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Solution

The third proportional to 342,294 and 763,293 is: 1,702,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,294 : 763,293 = 763,293 : x
  2. Step 2: Convert to fraction form
    342,294/763,293 = 763,293/x
  3. Step 3: Cross multiply
    342,294x = 763,293 × 763,293
  4. Step 4: Simplify right side
    342,294x = 582,616,203,849
  5. Step 5: Solve for x
    x = 582,616,203,849/342,294
  6. Step 6: Final answer
    x = 1,702,092.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.