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Finding the Third Proportional to 386,015.63 and 585,584.44

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Solution

The third proportional to 386,015.63 and 585,584.44 is: 888,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,015.63 : 585,584.44 = 585,584.44 : x
  2. Step 2: Convert to fraction form
    386,015.63/585,584.44 = 585,584.44/x
  3. Step 3: Cross multiply
    386,015.63x = 585,584.44 × 585,584.44
  4. Step 4: Simplify right side
    386,015.63x = 342,909,133,442.19
  5. Step 5: Solve for x
    x = 342,909,133,442.19/386,015.63
  6. Step 6: Final answer
    x = 888,329.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.