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Finding the Third Proportional to 325,626 and 694,263

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Solution

The third proportional to 325,626 and 694,263 is: 1,480,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,626 : 694,263 = 694,263 : x
  2. Step 2: Convert to fraction form
    325,626/694,263 = 694,263/x
  3. Step 3: Cross multiply
    325,626x = 694,263 × 694,263
  4. Step 4: Simplify right side
    325,626x = 482,001,113,169
  5. Step 5: Solve for x
    x = 482,001,113,169/325,626
  6. Step 6: Final answer
    x = 1,480,229.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.