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Finding the Third Proportional to 323,406 and 697,356

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Solution

The third proportional to 323,406 and 697,356 is: 1,503,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,406 : 697,356 = 697,356 : x
  2. Step 2: Convert to fraction form
    323,406/697,356 = 697,356/x
  3. Step 3: Cross multiply
    323,406x = 697,356 × 697,356
  4. Step 4: Simplify right side
    323,406x = 486,305,390,736
  5. Step 5: Solve for x
    x = 486,305,390,736/323,406
  6. Step 6: Final answer
    x = 1,503,699.35

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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.