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Finding the Third Proportional to 297,077.63 and 641,504.81

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Solution

The third proportional to 297,077.63 and 641,504.81 is: 1,385,255.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,077.63 : 641,504.81 = 641,504.81 : x
  2. Step 2: Convert to fraction form
    297,077.63/641,504.81 = 641,504.81/x
  3. Step 3: Cross multiply
    297,077.63x = 641,504.81 × 641,504.81
  4. Step 4: Simplify right side
    297,077.63x = 411,528,424,460.66
  5. Step 5: Solve for x
    x = 411,528,424,460.66/297,077.63
  6. Step 6: Final answer
    x = 1,385,255.54

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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.