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Finding the Third Proportional to 297,051.75 and 641,451.75

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Solution

The third proportional to 297,051.75 and 641,451.75 is: 1,385,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,051.75 : 641,451.75 = 641,451.75 : x
  2. Step 2: Convert to fraction form
    297,051.75/641,451.75 = 641,451.75/x
  3. Step 3: Cross multiply
    297,051.75x = 641,451.75 × 641,451.75
  4. Step 4: Simplify right side
    297,051.75x = 411,460,347,578.06
  5. Step 5: Solve for x
    x = 411,460,347,578.06/297,051.75
  6. Step 6: Final answer
    x = 1,385,147.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.