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Finding the Third Proportional to 324,648 and 693,400.50

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Solution

The third proportional to 324,648 and 693,400.50 is: 1,481,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,648 : 693,400.50 = 693,400.50 : x
  2. Step 2: Convert to fraction form
    324,648/693,400.50 = 693,400.50/x
  3. Step 3: Cross multiply
    324,648x = 693,400.50 × 693,400.50
  4. Step 4: Simplify right side
    324,648x = 480,804,253,400.25
  5. Step 5: Solve for x
    x = 480,804,253,400.25/324,648
  6. Step 6: Final answer
    x = 1,481,001.74

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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.