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Finding the Third Proportional to 384,801.75 and 890,779.50

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Solution

The third proportional to 384,801.75 and 890,779.50 is: 2,062,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,801.75 : 890,779.50 = 890,779.50 : x
  2. Step 2: Convert to fraction form
    384,801.75/890,779.50 = 890,779.50/x
  3. Step 3: Cross multiply
    384,801.75x = 890,779.50 × 890,779.50
  4. Step 4: Simplify right side
    384,801.75x = 793,488,117,620.25
  5. Step 5: Solve for x
    x = 793,488,117,620.25/384,801.75
  6. Step 6: Final answer
    x = 2,062,069.93

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