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Finding the Third Proportional to 282,206 and 603,751

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Solution

The third proportional to 282,206 and 603,751 is: 1,291,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,206 : 603,751 = 603,751 : x
  2. Step 2: Convert to fraction form
    282,206/603,751 = 603,751/x
  3. Step 3: Cross multiply
    282,206x = 603,751 × 603,751
  4. Step 4: Simplify right side
    282,206x = 364,515,270,001
  5. Step 5: Solve for x
    x = 364,515,270,001/282,206
  6. Step 6: Final answer
    x = 1,291,663.78

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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.