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Finding the Third Proportional to 212,773 and 461,005

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Solution

The third proportional to 212,773 and 461,005 is: 998,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,773 : 461,005 = 461,005 : x
  2. Step 2: Convert to fraction form
    212,773/461,005 = 461,005/x
  3. Step 3: Cross multiply
    212,773x = 461,005 × 461,005
  4. Step 4: Simplify right side
    212,773x = 212,525,610,025
  5. Step 5: Solve for x
    x = 212,525,610,025/212,773
  6. Step 6: Final answer
    x = 998,837.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.