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Finding the Third Proportional to 463 and 859

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Solution

The third proportional to 463 and 859 is: 1,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 859 = 859 : x
  2. Step 2: Convert to fraction form
    463/859 = 859/x
  3. Step 3: Cross multiply
    463x = 859 × 859
  4. Step 4: Simplify right side
    463x = 737,881
  5. Step 5: Solve for x
    x = 737,881/463
  6. Step 6: Final answer
    x = 1,593.70

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.