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Finding the Third Proportional to 523 and 937

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Solution

The third proportional to 523 and 937 is: 1,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 937 = 937 : x
  2. Step 2: Convert to fraction form
    523/937 = 937/x
  3. Step 3: Cross multiply
    523x = 937 × 937
  4. Step 4: Simplify right side
    523x = 877,969
  5. Step 5: Solve for x
    x = 877,969/523
  6. Step 6: Final answer
    x = 1,678.72

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.