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Finding the Third Proportional to 324,132 and 674,076

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Solution

The third proportional to 324,132 and 674,076 is: 1,401,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,132 : 674,076 = 674,076 : x
  2. Step 2: Convert to fraction form
    324,132/674,076 = 674,076/x
  3. Step 3: Cross multiply
    324,132x = 674,076 × 674,076
  4. Step 4: Simplify right side
    324,132x = 454,378,453,776
  5. Step 5: Solve for x
    x = 454,378,453,776/324,132
  6. Step 6: Final answer
    x = 1,401,831.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.