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Finding the Third Proportional to 352,554 and 537,093.50

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Solution

The third proportional to 352,554 and 537,093.50 is: 818,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,554 : 537,093.50 = 537,093.50 : x
  2. Step 2: Convert to fraction form
    352,554/537,093.50 = 537,093.50/x
  3. Step 3: Cross multiply
    352,554x = 537,093.50 × 537,093.50
  4. Step 4: Simplify right side
    352,554x = 288,469,427,742.25
  5. Step 5: Solve for x
    x = 288,469,427,742.25/352,554
  6. Step 6: Final answer
    x = 818,227.64

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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.