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Finding the Third Proportional to 212,579.63 and 466,626.38

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Solution

The third proportional to 212,579.63 and 466,626.38 is: 1,024,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,579.63 : 466,626.38 = 466,626.38 : x
  2. Step 2: Convert to fraction form
    212,579.63/466,626.38 = 466,626.38/x
  3. Step 3: Cross multiply
    212,579.63x = 466,626.38 × 466,626.38
  4. Step 4: Simplify right side
    212,579.63x = 217,740,173,845.64
  5. Step 5: Solve for x
    x = 217,740,173,845.64/212,579.63
  6. Step 6: Final answer
    x = 1,024,275.84

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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.