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Finding the Third Proportional to 583.86 and 908.22

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Solution

The third proportional to 583.86 and 908.22 is: 1,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 908.22 = 908.22 : x
  2. Step 2: Convert to fraction form
    583.86/908.22 = 908.22/x
  3. Step 3: Cross multiply
    583.86x = 908.22 × 908.22
  4. Step 4: Simplify right side
    583.86x = 824,871.50
  5. Step 5: Solve for x
    x = 824,871.50/583.86
  6. Step 6: Final answer
    x = 1,412.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.