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Finding the Third Proportional to 583.41 and 923.81

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Solution

The third proportional to 583.41 and 923.81 is: 1,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.41 : 923.81 = 923.81 : x
  2. Step 2: Convert to fraction form
    583.41/923.81 = 923.81/x
  3. Step 3: Cross multiply
    583.41x = 923.81 × 923.81
  4. Step 4: Simplify right side
    583.41x = 853,429.54
  5. Step 5: Solve for x
    x = 853,429.54/583.41
  6. Step 6: Final answer
    x = 1,462.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.