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Finding the Third Proportional to 211,480.88 and 460,231.88

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Solution

The third proportional to 211,480.88 and 460,231.88 is: 1,001,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,480.88 : 460,231.88 = 460,231.88 : x
  2. Step 2: Convert to fraction form
    211,480.88/460,231.88 = 460,231.88/x
  3. Step 3: Cross multiply
    211,480.88x = 460,231.88 × 460,231.88
  4. Step 4: Simplify right side
    211,480.88x = 211,813,378,766.02
  5. Step 5: Solve for x
    x = 211,813,378,766.02/211,480.88
  6. Step 6: Final answer
    x = 1,001,572.26

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