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Finding the Third Proportional to 289,384 and 600,944

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Solution

The third proportional to 289,384 and 600,944 is: 1,247,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,384 : 600,944 = 600,944 : x
  2. Step 2: Convert to fraction form
    289,384/600,944 = 600,944/x
  3. Step 3: Cross multiply
    289,384x = 600,944 × 600,944
  4. Step 4: Simplify right side
    289,384x = 361,133,691,136
  5. Step 5: Solve for x
    x = 361,133,691,136/289,384
  6. Step 6: Final answer
    x = 1,247,939.39

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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.