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Finding the Third Proportional to 289,109.25 and 423,793.69

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Solution

The third proportional to 289,109.25 and 423,793.69 is: 621,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,109.25 : 423,793.69 = 423,793.69 : x
  2. Step 2: Convert to fraction form
    289,109.25/423,793.69 = 423,793.69/x
  3. Step 3: Cross multiply
    289,109.25x = 423,793.69 × 423,793.69
  4. Step 4: Simplify right side
    289,109.25x = 179,601,089,564.85
  5. Step 5: Solve for x
    x = 179,601,089,564.85/289,109.25
  6. Step 6: Final answer
    x = 621,222.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.