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Finding the Third Proportional to 388,520 and 845,404

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Solution

The third proportional to 388,520 and 845,404 is: 1,839,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,520 : 845,404 = 845,404 : x
  2. Step 2: Convert to fraction form
    388,520/845,404 = 845,404/x
  3. Step 3: Cross multiply
    388,520x = 845,404 × 845,404
  4. Step 4: Simplify right side
    388,520x = 714,707,923,216
  5. Step 5: Solve for x
    x = 714,707,923,216/388,520
  6. Step 6: Final answer
    x = 1,839,565.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.