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Finding the Third Proportional to 384,814.50 and 890,802

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Solution

The third proportional to 384,814.50 and 890,802 is: 2,062,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,814.50 : 890,802 = 890,802 : x
  2. Step 2: Convert to fraction form
    384,814.50/890,802 = 890,802/x
  3. Step 3: Cross multiply
    384,814.50x = 890,802 × 890,802
  4. Step 4: Simplify right side
    384,814.50x = 793,528,203,204
  5. Step 5: Solve for x
    x = 793,528,203,204/384,814.50
  6. Step 6: Final answer
    x = 2,062,105.78

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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.