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Finding the Third Proportional to 291,626 and 417,027

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Solution

The third proportional to 291,626 and 417,027 is: 596,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,626 : 417,027 = 417,027 : x
  2. Step 2: Convert to fraction form
    291,626/417,027 = 417,027/x
  3. Step 3: Cross multiply
    291,626x = 417,027 × 417,027
  4. Step 4: Simplify right side
    291,626x = 173,911,518,729
  5. Step 5: Solve for x
    x = 173,911,518,729/291,626
  6. Step 6: Final answer
    x = 596,351.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.