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Finding the Third Proportional to 227,626 and 344,570

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Solution

The third proportional to 227,626 and 344,570 is: 521,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,626 : 344,570 = 344,570 : x
  2. Step 2: Convert to fraction form
    227,626/344,570 = 344,570/x
  3. Step 3: Cross multiply
    227,626x = 344,570 × 344,570
  4. Step 4: Simplify right side
    227,626x = 118,728,484,900
  5. Step 5: Solve for x
    x = 118,728,484,900/227,626
  6. Step 6: Final answer
    x = 521,594.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.