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Finding the Third Proportional to 324,459 and 693,756

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Solution

The third proportional to 324,459 and 693,756 is: 1,483,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,459 : 693,756 = 693,756 : x
  2. Step 2: Convert to fraction form
    324,459/693,756 = 693,756/x
  3. Step 3: Cross multiply
    324,459x = 693,756 × 693,756
  4. Step 4: Simplify right side
    324,459x = 481,297,387,536
  5. Step 5: Solve for x
    x = 481,297,387,536/324,459
  6. Step 6: Final answer
    x = 1,483,384.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.