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Finding the Third Proportional to 425,794 and 592,027

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Solution

The third proportional to 425,794 and 592,027 is: 823,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,794 : 592,027 = 592,027 : x
  2. Step 2: Convert to fraction form
    425,794/592,027 = 592,027/x
  3. Step 3: Cross multiply
    425,794x = 592,027 × 592,027
  4. Step 4: Simplify right side
    425,794x = 350,495,968,729
  5. Step 5: Solve for x
    x = 350,495,968,729/425,794
  6. Step 6: Final answer
    x = 823,158.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.