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Finding the Third Proportional to 289,291.50 and 444,933

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Solution

The third proportional to 289,291.50 and 444,933 is: 684,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,291.50 : 444,933 = 444,933 : x
  2. Step 2: Convert to fraction form
    289,291.50/444,933 = 444,933/x
  3. Step 3: Cross multiply
    289,291.50x = 444,933 × 444,933
  4. Step 4: Simplify right side
    289,291.50x = 197,965,374,489
  5. Step 5: Solve for x
    x = 197,965,374,489/289,291.50
  6. Step 6: Final answer
    x = 684,311.07

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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.