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Finding the Third Proportional to 251,048 and 384,588

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Solution

The third proportional to 251,048 and 384,588 is: 589,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,048 : 384,588 = 384,588 : x
  2. Step 2: Convert to fraction form
    251,048/384,588 = 384,588/x
  3. Step 3: Cross multiply
    251,048x = 384,588 × 384,588
  4. Step 4: Simplify right side
    251,048x = 147,907,929,744
  5. Step 5: Solve for x
    x = 147,907,929,744/251,048
  6. Step 6: Final answer
    x = 589,161.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.