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Finding the Third Proportional to 291,620.25 and 417,018.38

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Solution

The third proportional to 291,620.25 and 417,018.38 is: 596,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,620.25 : 417,018.38 = 417,018.38 : x
  2. Step 2: Convert to fraction form
    291,620.25/417,018.38 = 417,018.38/x
  3. Step 3: Cross multiply
    291,620.25x = 417,018.38 × 417,018.38
  4. Step 4: Simplify right side
    291,620.25x = 173,904,325,087.64
  5. Step 5: Solve for x
    x = 173,904,325,087.64/291,620.25
  6. Step 6: Final answer
    x = 596,338.30

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.