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Finding the Third Proportional to 384,843.66 and 819,509.91

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Solution

The third proportional to 384,843.66 and 819,509.91 is: 1,745,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,843.66 : 819,509.91 = 819,509.91 : x
  2. Step 2: Convert to fraction form
    384,843.66/819,509.91 = 819,509.91/x
  3. Step 3: Cross multiply
    384,843.66x = 819,509.91 × 819,509.91
  4. Step 4: Simplify right side
    384,843.66x = 671,596,486,441.88
  5. Step 5: Solve for x
    x = 671,596,486,441.88/384,843.66
  6. Step 6: Final answer
    x = 1,745,115.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.