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Finding the Third Proportional to 384,833.25 and 890,793

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Solution

The third proportional to 384,833.25 and 890,793 is: 2,061,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,833.25 : 890,793 = 890,793 : x
  2. Step 2: Convert to fraction form
    384,833.25/890,793 = 890,793/x
  3. Step 3: Cross multiply
    384,833.25x = 890,793 × 890,793
  4. Step 4: Simplify right side
    384,833.25x = 793,512,168,849
  5. Step 5: Solve for x
    x = 793,512,168,849/384,833.25
  6. Step 6: Final answer
    x = 2,061,963.64

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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.