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Finding the Third Proportional to 211,116 and 460,104

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Solution

The third proportional to 211,116 and 460,104 is: 1,002,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,116 : 460,104 = 460,104 : x
  2. Step 2: Convert to fraction form
    211,116/460,104 = 460,104/x
  3. Step 3: Cross multiply
    211,116x = 460,104 × 460,104
  4. Step 4: Simplify right side
    211,116x = 211,695,690,816
  5. Step 5: Solve for x
    x = 211,695,690,816/211,116
  6. Step 6: Final answer
    x = 1,002,745.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.