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Finding the Third Proportional to 522.75 and 1,269.75

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Solution

The third proportional to 522.75 and 1,269.75 is: 3,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 1,269.75 = 1,269.75 : x
  2. Step 2: Convert to fraction form
    522.75/1,269.75 = 1,269.75/x
  3. Step 3: Cross multiply
    522.75x = 1,269.75 × 1,269.75
  4. Step 4: Simplify right side
    522.75x = 1,612,265.06
  5. Step 5: Solve for x
    x = 1,612,265.06/522.75
  6. Step 6: Final answer
    x = 3,084.20

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.