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Finding the Third Proportional to 505,760 and 1,083,658.75

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Solution

The third proportional to 505,760 and 1,083,658.75 is: 2,321,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,760 : 1,083,658.75 = 1,083,658.75 : x
  2. Step 2: Convert to fraction form
    505,760/1,083,658.75 = 1,083,658.75/x
  3. Step 3: Cross multiply
    505,760x = 1,083,658.75 × 1,083,658.75
  4. Step 4: Simplify right side
    505,760x = 1,174,316,286,451.56
  5. Step 5: Solve for x
    x = 1,174,316,286,451.56/505,760
  6. Step 6: Final answer
    x = 2,321,884.46

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Why These Related Problems?

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