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Finding the Third Proportional to 393,576 and 844,488

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Solution

The third proportional to 393,576 and 844,488 is: 1,812,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,576 : 844,488 = 844,488 : x
  2. Step 2: Convert to fraction form
    393,576/844,488 = 844,488/x
  3. Step 3: Cross multiply
    393,576x = 844,488 × 844,488
  4. Step 4: Simplify right side
    393,576x = 713,159,982,144
  5. Step 5: Solve for x
    x = 713,159,982,144/393,576
  6. Step 6: Final answer
    x = 1,812,000.69

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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.