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Finding the Third Proportional to 324,477 and 693,792

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Solution

The third proportional to 324,477 and 693,792 is: 1,483,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,477 : 693,792 = 693,792 : x
  2. Step 2: Convert to fraction form
    324,477/693,792 = 693,792/x
  3. Step 3: Cross multiply
    324,477x = 693,792 × 693,792
  4. Step 4: Simplify right side
    324,477x = 481,347,339,264
  5. Step 5: Solve for x
    x = 481,347,339,264/324,477
  6. Step 6: Final answer
    x = 1,483,455.96

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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.