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Finding the Third Proportional to 412,447.22 and 603,905.06

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Solution

The third proportional to 412,447.22 and 603,905.06 is: 884,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,447.22 : 603,905.06 = 603,905.06 : x
  2. Step 2: Convert to fraction form
    412,447.22/603,905.06 = 603,905.06/x
  3. Step 3: Cross multiply
    412,447.22x = 603,905.06 × 603,905.06
  4. Step 4: Simplify right side
    412,447.22x = 364,701,324,513.13
  5. Step 5: Solve for x
    x = 364,701,324,513.13/412,447.22
  6. Step 6: Final answer
    x = 884,237.57

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.