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Finding the Third Proportional to 289,098 and 444,919.50

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Solution

The third proportional to 289,098 and 444,919.50 is: 684,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,098 : 444,919.50 = 444,919.50 : x
  2. Step 2: Convert to fraction form
    289,098/444,919.50 = 444,919.50/x
  3. Step 3: Cross multiply
    289,098x = 444,919.50 × 444,919.50
  4. Step 4: Simplify right side
    289,098x = 197,953,361,480.25
  5. Step 5: Solve for x
    x = 197,953,361,480.25/289,098
  6. Step 6: Final answer
    x = 684,727.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.