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Finding the Third Proportional to 384,369.52 and 844,062.40

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Solution

The third proportional to 384,369.52 and 844,062.40 is: 1,853,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,369.52 : 844,062.40 = 844,062.40 : x
  2. Step 2: Convert to fraction form
    384,369.52/844,062.40 = 844,062.40/x
  3. Step 3: Cross multiply
    384,369.52x = 844,062.40 × 844,062.40
  4. Step 4: Simplify right side
    384,369.52x = 712,441,332,456.07
  5. Step 5: Solve for x
    x = 712,441,332,456.07/384,369.52
  6. Step 6: Final answer
    x = 1,853,532.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.