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Finding the Third Proportional to 212,260.50 and 461,997

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Solution

The third proportional to 212,260.50 and 461,997 is: 1,005,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,260.50 : 461,997 = 461,997 : x
  2. Step 2: Convert to fraction form
    212,260.50/461,997 = 461,997/x
  3. Step 3: Cross multiply
    212,260.50x = 461,997 × 461,997
  4. Step 4: Simplify right side
    212,260.50x = 213,441,228,009
  5. Step 5: Solve for x
    x = 213,441,228,009/212,260.50
  6. Step 6: Final answer
    x = 1,005,562.64

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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.