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Finding the Third Proportional to 212,827.50 and 467,788.50

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Solution

The third proportional to 212,827.50 and 467,788.50 is: 1,028,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,827.50 : 467,788.50 = 467,788.50 : x
  2. Step 2: Convert to fraction form
    212,827.50/467,788.50 = 467,788.50/x
  3. Step 3: Cross multiply
    212,827.50x = 467,788.50 × 467,788.50
  4. Step 4: Simplify right side
    212,827.50x = 218,826,080,732.25
  5. Step 5: Solve for x
    x = 218,826,080,732.25/212,827.50
  6. Step 6: Final answer
    x = 1,028,185.18

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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.