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Finding the Third Proportional to 255,423,626 and 394,625,208

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Solution

The third proportional to 255,423,626 and 394,625,208 is: 609,689,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,423,626 : 394,625,208 = 394,625,208 : x
  2. Step 2: Convert to fraction form
    255,423,626/394,625,208 = 394,625,208/x
  3. Step 3: Cross multiply
    255,423,626x = 394,625,208 × 394,625,208
  4. Step 4: Simplify right side
    255,423,626x = 155,729,054,789,043,264
  5. Step 5: Solve for x
    x = 155,729,054,789,043,264/255,423,626
  6. Step 6: Final answer
    x = 609,689,311.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.