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Finding the Third Proportional to 324,558 and 703,858.50

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Solution

The third proportional to 324,558 and 703,858.50 is: 1,526,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,558 : 703,858.50 = 703,858.50 : x
  2. Step 2: Convert to fraction form
    324,558/703,858.50 = 703,858.50/x
  3. Step 3: Cross multiply
    324,558x = 703,858.50 × 703,858.50
  4. Step 4: Simplify right side
    324,558x = 495,416,788,022.25
  5. Step 5: Solve for x
    x = 495,416,788,022.25/324,558
  6. Step 6: Final answer
    x = 1,526,435.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.