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Finding the Third Proportional to 211,984 and 449,240

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Solution

The third proportional to 211,984 and 449,240 is: 952,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,984 : 449,240 = 449,240 : x
  2. Step 2: Convert to fraction form
    211,984/449,240 = 449,240/x
  3. Step 3: Cross multiply
    211,984x = 449,240 × 449,240
  4. Step 4: Simplify right side
    211,984x = 201,816,577,600
  5. Step 5: Solve for x
    x = 201,816,577,600/211,984
  6. Step 6: Final answer
    x = 952,036.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.