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Finding the Third Proportional to 211,992 and 463,840

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Solution

The third proportional to 211,992 and 463,840 is: 1,014,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,992 : 463,840 = 463,840 : x
  2. Step 2: Convert to fraction form
    211,992/463,840 = 463,840/x
  3. Step 3: Cross multiply
    211,992x = 463,840 × 463,840
  4. Step 4: Simplify right side
    211,992x = 215,147,545,600
  5. Step 5: Solve for x
    x = 215,147,545,600/211,992
  6. Step 6: Final answer
    x = 1,014,885.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.