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Finding the Third Proportional to 393,600 and 844,536

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Solution

The third proportional to 393,600 and 844,536 is: 1,812,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,600 : 844,536 = 844,536 : x
  2. Step 2: Convert to fraction form
    393,600/844,536 = 844,536/x
  3. Step 3: Cross multiply
    393,600x = 844,536 × 844,536
  4. Step 4: Simplify right side
    393,600x = 713,241,055,296
  5. Step 5: Solve for x
    x = 713,241,055,296/393,600
  6. Step 6: Final answer
    x = 1,812,096.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.