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Finding the Third Proportional to 393,580 and 844,496

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Solution

The third proportional to 393,580 and 844,496 is: 1,812,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,580 : 844,496 = 844,496 : x
  2. Step 2: Convert to fraction form
    393,580/844,496 = 844,496/x
  3. Step 3: Cross multiply
    393,580x = 844,496 × 844,496
  4. Step 4: Simplify right side
    393,580x = 713,173,494,016
  5. Step 5: Solve for x
    x = 713,173,494,016/393,580
  6. Step 6: Final answer
    x = 1,812,016.60

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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.