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Finding the Third Proportional to 583.34 and 873.61

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Solution

The third proportional to 583.34 and 873.61 is: 1,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.34 : 873.61 = 873.61 : x
  2. Step 2: Convert to fraction form
    583.34/873.61 = 873.61/x
  3. Step 3: Cross multiply
    583.34x = 873.61 × 873.61
  4. Step 4: Simplify right side
    583.34x = 763,193.34
  5. Step 5: Solve for x
    x = 763,193.34/583.34
  6. Step 6: Final answer
    x = 1,308.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.