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Finding the Third Proportional to 323,955 and 364,551.75

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Solution

The third proportional to 323,955 and 364,551.75 is: 410,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,955 : 364,551.75 = 364,551.75 : x
  2. Step 2: Convert to fraction form
    323,955/364,551.75 = 364,551.75/x
  3. Step 3: Cross multiply
    323,955x = 364,551.75 × 364,551.75
  4. Step 4: Simplify right side
    323,955x = 132,897,978,428.06
  5. Step 5: Solve for x
    x = 132,897,978,428.06/323,955
  6. Step 6: Final answer
    x = 410,235.92

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.