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Finding the Third Proportional to 264,568 and 624,422

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Solution

The third proportional to 264,568 and 624,422 is: 1,473,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,568 : 624,422 = 624,422 : x
  2. Step 2: Convert to fraction form
    264,568/624,422 = 624,422/x
  3. Step 3: Cross multiply
    264,568x = 624,422 × 624,422
  4. Step 4: Simplify right side
    264,568x = 389,902,834,084
  5. Step 5: Solve for x
    x = 389,902,834,084/264,568
  6. Step 6: Final answer
    x = 1,473,733.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.