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Finding the Third Proportional to 251,804 and 384,267

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Solution

The third proportional to 251,804 and 384,267 is: 586,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,804 : 384,267 = 384,267 : x
  2. Step 2: Convert to fraction form
    251,804/384,267 = 384,267/x
  3. Step 3: Cross multiply
    251,804x = 384,267 × 384,267
  4. Step 4: Simplify right side
    251,804x = 147,661,127,289
  5. Step 5: Solve for x
    x = 147,661,127,289/251,804
  6. Step 6: Final answer
    x = 586,412.95

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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.