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Finding the Third Proportional to 289,375.50 and 600,927

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Solution

The third proportional to 289,375.50 and 600,927 is: 1,247,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,375.50 : 600,927 = 600,927 : x
  2. Step 2: Convert to fraction form
    289,375.50/600,927 = 600,927/x
  3. Step 3: Cross multiply
    289,375.50x = 600,927 × 600,927
  4. Step 4: Simplify right side
    289,375.50x = 361,113,259,329
  5. Step 5: Solve for x
    x = 361,113,259,329/289,375.50
  6. Step 6: Final answer
    x = 1,247,905.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.