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Finding the Third Proportional to 418.61 and 879.93

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Solution

The third proportional to 418.61 and 879.93 is: 1,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 879.93 = 879.93 : x
  2. Step 2: Convert to fraction form
    418.61/879.93 = 879.93/x
  3. Step 3: Cross multiply
    418.61x = 879.93 × 879.93
  4. Step 4: Simplify right side
    418.61x = 774,269.38
  5. Step 5: Solve for x
    x = 774,269.38/418.61
  6. Step 6: Final answer
    x = 1,849.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.