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Finding the Third Proportional to 505,485 and 1,082,045.25

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Solution

The third proportional to 505,485 and 1,082,045.25 is: 2,316,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,485 : 1,082,045.25 = 1,082,045.25 : x
  2. Step 2: Convert to fraction form
    505,485/1,082,045.25 = 1,082,045.25/x
  3. Step 3: Cross multiply
    505,485x = 1,082,045.25 × 1,082,045.25
  4. Step 4: Simplify right side
    505,485x = 1,170,821,923,047.56
  5. Step 5: Solve for x
    x = 1,170,821,923,047.56/505,485
  6. Step 6: Final answer
    x = 2,316,234.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.