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Finding the Third Proportional to 278,009 and 606,996

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Solution

The third proportional to 278,009 and 606,996 is: 1,325,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,009 : 606,996 = 606,996 : x
  2. Step 2: Convert to fraction form
    278,009/606,996 = 606,996/x
  3. Step 3: Cross multiply
    278,009x = 606,996 × 606,996
  4. Step 4: Simplify right side
    278,009x = 368,444,144,016
  5. Step 5: Solve for x
    x = 368,444,144,016/278,009
  6. Step 6: Final answer
    x = 1,325,295.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.