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Finding the Third Proportional to 323,502 and 703,677

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Solution

The third proportional to 323,502 and 703,677 is: 1,530,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,502 : 703,677 = 703,677 : x
  2. Step 2: Convert to fraction form
    323,502/703,677 = 703,677/x
  3. Step 3: Cross multiply
    323,502x = 703,677 × 703,677
  4. Step 4: Simplify right side
    323,502x = 495,161,320,329
  5. Step 5: Solve for x
    x = 495,161,320,329/323,502
  6. Step 6: Final answer
    x = 1,530,628.31

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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.