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Finding the Third Proportional to 583.69 and 816.94

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Solution

The third proportional to 583.69 and 816.94 is: 1,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.69 : 816.94 = 816.94 : x
  2. Step 2: Convert to fraction form
    583.69/816.94 = 816.94/x
  3. Step 3: Cross multiply
    583.69x = 816.94 × 816.94
  4. Step 4: Simplify right side
    583.69x = 667,386.88
  5. Step 5: Solve for x
    x = 667,386.88/583.69
  6. Step 6: Final answer
    x = 1,143.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.