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Finding the Third Proportional to 363,705 and 789,616.50

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Solution

The third proportional to 363,705 and 789,616.50 is: 1,714,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,705 : 789,616.50 = 789,616.50 : x
  2. Step 2: Convert to fraction form
    363,705/789,616.50 = 789,616.50/x
  3. Step 3: Cross multiply
    363,705x = 789,616.50 × 789,616.50
  4. Step 4: Simplify right side
    363,705x = 623,494,217,072.25
  5. Step 5: Solve for x
    x = 623,494,217,072.25/363,705
  6. Step 6: Final answer
    x = 1,714,285.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.