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Finding the Third Proportional to 409,205.25 and 889,245

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Solution

The third proportional to 409,205.25 and 889,245 is: 1,932,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,205.25 : 889,245 = 889,245 : x
  2. Step 2: Convert to fraction form
    409,205.25/889,245 = 889,245/x
  3. Step 3: Cross multiply
    409,205.25x = 889,245 × 889,245
  4. Step 4: Simplify right side
    409,205.25x = 790,756,670,025
  5. Step 5: Solve for x
    x = 790,756,670,025/409,205.25
  6. Step 6: Final answer
    x = 1,932,420.64

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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.