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Finding the Third Proportional to 189,790.59 and 400,915.83

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Solution

The third proportional to 189,790.59 and 400,915.83 is: 846,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,790.59 : 400,915.83 = 400,915.83 : x
  2. Step 2: Convert to fraction form
    189,790.59/400,915.83 = 400,915.83/x
  3. Step 3: Cross multiply
    189,790.59x = 400,915.83 × 400,915.83
  4. Step 4: Simplify right side
    189,790.59x = 160,733,501,241.16
  5. Step 5: Solve for x
    x = 160,733,501,241.16/189,790.59
  6. Step 6: Final answer
    x = 846,899.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.