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Finding the Third Proportional to 380,288.25 and 584,583.75

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Solution

The third proportional to 380,288.25 and 584,583.75 is: 898,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,288.25 : 584,583.75 = 584,583.75 : x
  2. Step 2: Convert to fraction form
    380,288.25/584,583.75 = 584,583.75/x
  3. Step 3: Cross multiply
    380,288.25x = 584,583.75 × 584,583.75
  4. Step 4: Simplify right side
    380,288.25x = 341,738,160,764.06
  5. Step 5: Solve for x
    x = 341,738,160,764.06/380,288.25
  6. Step 6: Final answer
    x = 898,629.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.