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Finding the Third Proportional to 278,027 and 607,023

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Solution

The third proportional to 278,027 and 607,023 is: 1,325,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,027 : 607,023 = 607,023 : x
  2. Step 2: Convert to fraction form
    278,027/607,023 = 607,023/x
  3. Step 3: Cross multiply
    278,027x = 607,023 × 607,023
  4. Step 4: Simplify right side
    278,027x = 368,476,922,529
  5. Step 5: Solve for x
    x = 368,476,922,529/278,027
  6. Step 6: Final answer
    x = 1,325,327.84

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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.