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Finding the Third Proportional to 384,792.40 and 890,758.27

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Solution

The third proportional to 384,792.40 and 890,758.27 is: 2,062,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,792.40 : 890,758.27 = 890,758.27 : x
  2. Step 2: Convert to fraction form
    384,792.40/890,758.27 = 890,758.27/x
  3. Step 3: Cross multiply
    384,792.40x = 890,758.27 × 890,758.27
  4. Step 4: Simplify right side
    384,792.40x = 793,450,287,779.26
  5. Step 5: Solve for x
    x = 793,450,287,779.26/384,792.40
  6. Step 6: Final answer
    x = 2,062,021.73

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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.