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Finding the Third Proportional to 325,491 and 492,826.50

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Solution

The third proportional to 325,491 and 492,826.50 is: 746,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,491 : 492,826.50 = 492,826.50 : x
  2. Step 2: Convert to fraction form
    325,491/492,826.50 = 492,826.50/x
  3. Step 3: Cross multiply
    325,491x = 492,826.50 × 492,826.50
  4. Step 4: Simplify right side
    325,491x = 242,877,959,102.25
  5. Step 5: Solve for x
    x = 242,877,959,102.25/325,491
  6. Step 6: Final answer
    x = 746,189.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.