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Finding the Third Proportional to 274,665.94 and 601,698.38

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Solution

The third proportional to 274,665.94 and 601,698.38 is: 1,318,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,665.94 : 601,698.38 = 601,698.38 : x
  2. Step 2: Convert to fraction form
    274,665.94/601,698.38 = 601,698.38/x
  3. Step 3: Cross multiply
    274,665.94x = 601,698.38 × 601,698.38
  4. Step 4: Simplify right side
    274,665.94x = 362,040,934,477.64
  5. Step 5: Solve for x
    x = 362,040,934,477.64/274,665.94
  6. Step 6: Final answer
    x = 1,318,113.70

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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.