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Finding the Third Proportional to 211,793.06 and 322,652.53

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Solution

The third proportional to 211,793.06 and 322,652.53 is: 491,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,793.06 : 322,652.53 = 322,652.53 : x
  2. Step 2: Convert to fraction form
    211,793.06/322,652.53 = 322,652.53/x
  3. Step 3: Cross multiply
    211,793.06x = 322,652.53 × 322,652.53
  4. Step 4: Simplify right side
    211,793.06x = 104,104,655,922.03
  5. Step 5: Solve for x
    x = 104,104,655,922.03/211,793.06
  6. Step 6: Final answer
    x = 491,539.50

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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.