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Finding the Third Proportional to 324,202.50 and 698,341.50

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Solution

The third proportional to 324,202.50 and 698,341.50 is: 1,504,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,202.50 : 698,341.50 = 698,341.50 : x
  2. Step 2: Convert to fraction form
    324,202.50/698,341.50 = 698,341.50/x
  3. Step 3: Cross multiply
    324,202.50x = 698,341.50 × 698,341.50
  4. Step 4: Simplify right side
    324,202.50x = 487,680,850,622.25
  5. Step 5: Solve for x
    x = 487,680,850,622.25/324,202.50
  6. Step 6: Final answer
    x = 1,504,247.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.