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Finding the Third Proportional to 348.50 and 522.63

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Solution

The third proportional to 348.50 and 522.63 is: 783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.50 : 522.63 = 522.63 : x
  2. Step 2: Convert to fraction form
    348.50/522.63 = 522.63/x
  3. Step 3: Cross multiply
    348.50x = 522.63 × 522.63
  4. Step 4: Simplify right side
    348.50x = 273,136.89
  5. Step 5: Solve for x
    x = 273,136.89/348.50
  6. Step 6: Final answer
    x = 783.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.