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Finding the Third Proportional to 324,702 and 697,692

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Solution

The third proportional to 324,702 and 697,692 is: 1,499,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,702 : 697,692 = 697,692 : x
  2. Step 2: Convert to fraction form
    324,702/697,692 = 697,692/x
  3. Step 3: Cross multiply
    324,702x = 697,692 × 697,692
  4. Step 4: Simplify right side
    324,702x = 486,774,126,864
  5. Step 5: Solve for x
    x = 486,774,126,864/324,702
  6. Step 6: Final answer
    x = 1,499,141.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.