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Finding the Third Proportional to 324,482 and 693,800

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Solution

The third proportional to 324,482 and 693,800 is: 1,483,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,482 : 693,800 = 693,800 : x
  2. Step 2: Convert to fraction form
    324,482/693,800 = 693,800/x
  3. Step 3: Cross multiply
    324,482x = 693,800 × 693,800
  4. Step 4: Simplify right side
    324,482x = 481,358,440,000
  5. Step 5: Solve for x
    x = 481,358,440,000/324,482
  6. Step 6: Final answer
    x = 1,483,467.31

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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.