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Finding the Third Proportional to 523 and 807

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Solution

The third proportional to 523 and 807 is: 1,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 807 = 807 : x
  2. Step 2: Convert to fraction form
    523/807 = 807/x
  3. Step 3: Cross multiply
    523x = 807 × 807
  4. Step 4: Simplify right side
    523x = 651,249
  5. Step 5: Solve for x
    x = 651,249/523
  6. Step 6: Final answer
    x = 1,245.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.