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Finding the Third Proportional to 384,206.91 and 573,195.94

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Solution

The third proportional to 384,206.91 and 573,195.94 is: 855,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,206.91 : 573,195.94 = 573,195.94 : x
  2. Step 2: Convert to fraction form
    384,206.91/573,195.94 = 573,195.94/x
  3. Step 3: Cross multiply
    384,206.91x = 573,195.94 × 573,195.94
  4. Step 4: Simplify right side
    384,206.91x = 328,553,582,766.50
  5. Step 5: Solve for x
    x = 328,553,582,766.50/384,206.91
  6. Step 6: Final answer
    x = 855,147.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.