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Finding the Third Proportional to 236,396 and 354,837

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Solution

The third proportional to 236,396 and 354,837 is: 532,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,396 : 354,837 = 354,837 : x
  2. Step 2: Convert to fraction form
    236,396/354,837 = 354,837/x
  3. Step 3: Cross multiply
    236,396x = 354,837 × 354,837
  4. Step 4: Simplify right side
    236,396x = 125,909,296,569
  5. Step 5: Solve for x
    x = 125,909,296,569/236,396
  6. Step 6: Final answer
    x = 532,620.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.