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Finding the Third Proportional to 586 and 963

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Solution

The third proportional to 586 and 963 is: 1,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586 : 963 = 963 : x
  2. Step 2: Convert to fraction form
    586/963 = 963/x
  3. Step 3: Cross multiply
    586x = 963 × 963
  4. Step 4: Simplify right side
    586x = 927,369
  5. Step 5: Solve for x
    x = 927,369/586
  6. Step 6: Final answer
    x = 1,582.54

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.