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Finding the Third Proportional to 325,826 and 477,083

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Solution

The third proportional to 325,826 and 477,083 is: 698,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,826 : 477,083 = 477,083 : x
  2. Step 2: Convert to fraction form
    325,826/477,083 = 477,083/x
  3. Step 3: Cross multiply
    325,826x = 477,083 × 477,083
  4. Step 4: Simplify right side
    325,826x = 227,608,188,889
  5. Step 5: Solve for x
    x = 227,608,188,889/325,826
  6. Step 6: Final answer
    x = 698,557.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.