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Finding the Third Proportional to 212,676.75 and 467,284.50

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Solution

The third proportional to 212,676.75 and 467,284.50 is: 1,026,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,676.75 : 467,284.50 = 467,284.50 : x
  2. Step 2: Convert to fraction form
    212,676.75/467,284.50 = 467,284.50/x
  3. Step 3: Cross multiply
    212,676.75x = 467,284.50 × 467,284.50
  4. Step 4: Simplify right side
    212,676.75x = 218,354,803,940.25
  5. Step 5: Solve for x
    x = 218,354,803,940.25/212,676.75
  6. Step 6: Final answer
    x = 1,026,698.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.