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Finding the Third Proportional to 202,874.63 and 441,014.63

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Solution

The third proportional to 202,874.63 and 441,014.63 is: 958,690.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,874.63 : 441,014.63 = 441,014.63 : x
  2. Step 2: Convert to fraction form
    202,874.63/441,014.63 = 441,014.63/x
  3. Step 3: Cross multiply
    202,874.63x = 441,014.63 × 441,014.63
  4. Step 4: Simplify right side
    202,874.63x = 194,493,899,463.89
  5. Step 5: Solve for x
    x = 194,493,899,463.89/202,874.63
  6. Step 6: Final answer
    x = 958,690.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.