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Finding the Third Proportional to 323,234 and 703,436

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Solution

The third proportional to 323,234 and 703,436 is: 1,530,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,234 : 703,436 = 703,436 : x
  2. Step 2: Convert to fraction form
    323,234/703,436 = 703,436/x
  3. Step 3: Cross multiply
    323,234x = 703,436 × 703,436
  4. Step 4: Simplify right side
    323,234x = 494,822,206,096
  5. Step 5: Solve for x
    x = 494,822,206,096/323,234
  6. Step 6: Final answer
    x = 1,530,848.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.