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Finding the Third Proportional to 523 and 1,050

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Solution

The third proportional to 523 and 1,050 is: 2,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 1,050 = 1,050 : x
  2. Step 2: Convert to fraction form
    523/1,050 = 1,050/x
  3. Step 3: Cross multiply
    523x = 1,050 × 1,050
  4. Step 4: Simplify right side
    523x = 1,102,500
  5. Step 5: Solve for x
    x = 1,102,500/523
  6. Step 6: Final answer
    x = 2,108.03

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.