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Finding the Third Proportional to 278,029 and 607,027

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Solution

The third proportional to 278,029 and 607,027 is: 1,325,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,029 : 607,027 = 607,027 : x
  2. Step 2: Convert to fraction form
    278,029/607,027 = 607,027/x
  3. Step 3: Cross multiply
    278,029x = 607,027 × 607,027
  4. Step 4: Simplify right side
    278,029x = 368,481,778,729
  5. Step 5: Solve for x
    x = 368,481,778,729/278,029
  6. Step 6: Final answer
    x = 1,325,335.77

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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.