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Finding the Third Proportional to 384,076.69 and 553,240.13

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Solution

The third proportional to 384,076.69 and 553,240.13 is: 796,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,076.69 : 553,240.13 = 553,240.13 : x
  2. Step 2: Convert to fraction form
    384,076.69/553,240.13 = 553,240.13/x
  3. Step 3: Cross multiply
    384,076.69x = 553,240.13 × 553,240.13
  4. Step 4: Simplify right side
    384,076.69x = 306,074,635,910.02
  5. Step 5: Solve for x
    x = 306,074,635,910.02/384,076.69
  6. Step 6: Final answer
    x = 796,910.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.