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Finding the Third Proportional to 323,487 and 703,656

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Solution

The third proportional to 323,487 and 703,656 is: 1,530,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,487 : 703,656 = 703,656 : x
  2. Step 2: Convert to fraction form
    323,487/703,656 = 703,656/x
  3. Step 3: Cross multiply
    323,487x = 703,656 × 703,656
  4. Step 4: Simplify right side
    323,487x = 495,131,766,336
  5. Step 5: Solve for x
    x = 495,131,766,336/323,487
  6. Step 6: Final answer
    x = 1,530,607.93

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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.