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Finding the Third Proportional to 384,835.50 and 890,794.13

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Solution

The third proportional to 384,835.50 and 890,794.13 is: 2,061,956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,835.50 : 890,794.13 = 890,794.13 : x
  2. Step 2: Convert to fraction form
    384,835.50/890,794.13 = 890,794.13/x
  3. Step 3: Cross multiply
    384,835.50x = 890,794.13 × 890,794.13
  4. Step 4: Simplify right side
    384,835.50x = 793,514,173,134.52
  5. Step 5: Solve for x
    x = 793,514,173,134.52/384,835.50
  6. Step 6: Final answer
    x = 2,061,956.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.