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Finding the Third Proportional to 323,334 and 698,292

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Solution

The third proportional to 323,334 and 698,292 is: 1,508,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,334 : 698,292 = 698,292 : x
  2. Step 2: Convert to fraction form
    323,334/698,292 = 698,292/x
  3. Step 3: Cross multiply
    323,334x = 698,292 × 698,292
  4. Step 4: Simplify right side
    323,334x = 487,611,717,264
  5. Step 5: Solve for x
    x = 487,611,717,264/323,334
  6. Step 6: Final answer
    x = 1,508,074.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.