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Finding the Third Proportional to 584.06 and 1,364.81

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Solution

The third proportional to 584.06 and 1,364.81 is: 3,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 1,364.81 = 1,364.81 : x
  2. Step 2: Convert to fraction form
    584.06/1,364.81 = 1,364.81/x
  3. Step 3: Cross multiply
    584.06x = 1,364.81 × 1,364.81
  4. Step 4: Simplify right side
    584.06x = 1,862,713.16
  5. Step 5: Solve for x
    x = 1,862,713.16/584.06
  6. Step 6: Final answer
    x = 3,189.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.