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Finding the Third Proportional to 351,171 and 770,695.50

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Solution

The third proportional to 351,171 and 770,695.50 is: 1,691,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,171 : 770,695.50 = 770,695.50 : x
  2. Step 2: Convert to fraction form
    351,171/770,695.50 = 770,695.50/x
  3. Step 3: Cross multiply
    351,171x = 770,695.50 × 770,695.50
  4. Step 4: Simplify right side
    351,171x = 593,971,553,720.25
  5. Step 5: Solve for x
    x = 593,971,553,720.25/351,171
  6. Step 6: Final answer
    x = 1,691,402.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.