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Finding the Third Proportional to 363,066 and 789,097.50

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Solution

The third proportional to 363,066 and 789,097.50 is: 1,715,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,066 : 789,097.50 = 789,097.50 : x
  2. Step 2: Convert to fraction form
    363,066/789,097.50 = 789,097.50/x
  3. Step 3: Cross multiply
    363,066x = 789,097.50 × 789,097.50
  4. Step 4: Simplify right side
    363,066x = 622,674,864,506.25
  5. Step 5: Solve for x
    x = 622,674,864,506.25/363,066
  6. Step 6: Final answer
    x = 1,715,045.93

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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.