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Finding the Third Proportional to 352,837 and 832,790.50

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Solution

The third proportional to 352,837 and 832,790.50 is: 1,965,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,837 : 832,790.50 = 832,790.50 : x
  2. Step 2: Convert to fraction form
    352,837/832,790.50 = 832,790.50/x
  3. Step 3: Cross multiply
    352,837x = 832,790.50 × 832,790.50
  4. Step 4: Simplify right side
    352,837x = 693,540,016,890.25
  5. Step 5: Solve for x
    x = 693,540,016,890.25/352,837
  6. Step 6: Final answer
    x = 1,965,610.23

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.