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Finding the Third Proportional to 189,519 and 408,559.50

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Solution

The third proportional to 189,519 and 408,559.50 is: 880,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,519 : 408,559.50 = 408,559.50 : x
  2. Step 2: Convert to fraction form
    189,519/408,559.50 = 408,559.50/x
  3. Step 3: Cross multiply
    189,519x = 408,559.50 × 408,559.50
  4. Step 4: Simplify right side
    189,519x = 166,920,865,040.25
  5. Step 5: Solve for x
    x = 166,920,865,040.25/189,519
  6. Step 6: Final answer
    x = 880,760.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.