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Finding the Third Proportional to 289,221 and 444,826.50

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Solution

The third proportional to 289,221 and 444,826.50 is: 684,150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,221 : 444,826.50 = 444,826.50 : x
  2. Step 2: Convert to fraction form
    289,221/444,826.50 = 444,826.50/x
  3. Step 3: Cross multiply
    289,221x = 444,826.50 × 444,826.50
  4. Step 4: Simplify right side
    289,221x = 197,870,615,102.25
  5. Step 5: Solve for x
    x = 197,870,615,102.25/289,221
  6. Step 6: Final answer
    x = 684,150.23

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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.