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Finding the Third Proportional to 312,027.19 and 445,874.63

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Solution

The third proportional to 312,027.19 and 445,874.63 is: 637,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,027.19 : 445,874.63 = 445,874.63 : x
  2. Step 2: Convert to fraction form
    312,027.19/445,874.63 = 445,874.63/x
  3. Step 3: Cross multiply
    312,027.19x = 445,874.63 × 445,874.63
  4. Step 4: Simplify right side
    312,027.19x = 198,804,181,218.89
  5. Step 5: Solve for x
    x = 198,804,181,218.89/312,027.19
  6. Step 6: Final answer
    x = 637,137.37

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.