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Finding the Third Proportional to 289,118 and 444,950

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Solution

The third proportional to 289,118 and 444,950 is: 684,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,118 : 444,950 = 444,950 : x
  2. Step 2: Convert to fraction form
    289,118/444,950 = 444,950/x
  3. Step 3: Cross multiply
    289,118x = 444,950 × 444,950
  4. Step 4: Simplify right side
    289,118x = 197,980,502,500
  5. Step 5: Solve for x
    x = 197,980,502,500/289,118
  6. Step 6: Final answer
    x = 684,774.05

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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.