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Finding the Third Proportional to 397,570.78 and 938,412.84

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Solution

The third proportional to 397,570.78 and 938,412.84 is: 2,214,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,570.78 : 938,412.84 = 938,412.84 : x
  2. Step 2: Convert to fraction form
    397,570.78/938,412.84 = 938,412.84/x
  3. Step 3: Cross multiply
    397,570.78x = 938,412.84 × 938,412.84
  4. Step 4: Simplify right side
    397,570.78x = 880,618,665,314.96
  5. Step 5: Solve for x
    x = 880,618,665,314.96/397,570.78
  6. Step 6: Final answer
    x = 2,214,998.45

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.