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Finding the Third Proportional to 212,576.63 and 466,620.75

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Solution

The third proportional to 212,576.63 and 466,620.75 is: 1,024,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,576.63 : 466,620.75 = 466,620.75 : x
  2. Step 2: Convert to fraction form
    212,576.63/466,620.75 = 466,620.75/x
  3. Step 3: Cross multiply
    212,576.63x = 466,620.75 × 466,620.75
  4. Step 4: Simplify right side
    212,576.63x = 217,734,924,330.56
  5. Step 5: Solve for x
    x = 217,734,924,330.56/212,576.63
  6. Step 6: Final answer
    x = 1,024,265.60

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