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Finding the Third Proportional to 209,059.50 and 445,087.50

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Solution

The third proportional to 209,059.50 and 445,087.50 is: 947,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,059.50 : 445,087.50 = 445,087.50 : x
  2. Step 2: Convert to fraction form
    209,059.50/445,087.50 = 445,087.50/x
  3. Step 3: Cross multiply
    209,059.50x = 445,087.50 × 445,087.50
  4. Step 4: Simplify right side
    209,059.50x = 198,102,882,656.25
  5. Step 5: Solve for x
    x = 198,102,882,656.25/209,059.50
  6. Step 6: Final answer
    x = 947,590.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.