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Finding the Third Proportional to 289,222.50 and 444,828.75

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Solution

The third proportional to 289,222.50 and 444,828.75 is: 684,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,222.50 : 444,828.75 = 444,828.75 : x
  2. Step 2: Convert to fraction form
    289,222.50/444,828.75 = 444,828.75/x
  3. Step 3: Cross multiply
    289,222.50x = 444,828.75 × 444,828.75
  4. Step 4: Simplify right side
    289,222.50x = 197,872,616,826.56
  5. Step 5: Solve for x
    x = 197,872,616,826.56/289,222.50
  6. Step 6: Final answer
    x = 684,153.61

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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.