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Finding the Third Proportional to 289,230.75 and 444,843

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Solution

The third proportional to 289,230.75 and 444,843 is: 684,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,230.75 : 444,843 = 444,843 : x
  2. Step 2: Convert to fraction form
    289,230.75/444,843 = 444,843/x
  3. Step 3: Cross multiply
    289,230.75x = 444,843 × 444,843
  4. Step 4: Simplify right side
    289,230.75x = 197,885,294,649
  5. Step 5: Solve for x
    x = 197,885,294,649/289,230.75
  6. Step 6: Final answer
    x = 684,177.93

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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.