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Finding the Third Proportional to 323,394 and 703,416

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Solution

The third proportional to 323,394 and 703,416 is: 1,530,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,394 : 703,416 = 703,416 : x
  2. Step 2: Convert to fraction form
    323,394/703,416 = 703,416/x
  3. Step 3: Cross multiply
    323,394x = 703,416 × 703,416
  4. Step 4: Simplify right side
    323,394x = 494,794,069,056
  5. Step 5: Solve for x
    x = 494,794,069,056/323,394
  6. Step 6: Final answer
    x = 1,530,003.86

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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.