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Finding the Third Proportional to 282,900 and 606,249

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Solution

The third proportional to 282,900 and 606,249 is: 1,299,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,900 : 606,249 = 606,249 : x
  2. Step 2: Convert to fraction form
    282,900/606,249 = 606,249/x
  3. Step 3: Cross multiply
    282,900x = 606,249 × 606,249
  4. Step 4: Simplify right side
    282,900x = 367,537,850,001
  5. Step 5: Solve for x
    x = 367,537,850,001/282,900
  6. Step 6: Final answer
    x = 1,299,179.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.