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Finding the Third Proportional to 212,074.50 and 461,464.13

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Solution

The third proportional to 212,074.50 and 461,464.13 is: 1,004,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,074.50 : 461,464.13 = 461,464.13 : x
  2. Step 2: Convert to fraction form
    212,074.50/461,464.13 = 461,464.13/x
  3. Step 3: Cross multiply
    212,074.50x = 461,464.13 × 461,464.13
  4. Step 4: Simplify right side
    212,074.50x = 212,949,138,662.02
  5. Step 5: Solve for x
    x = 212,949,138,662.02/212,074.50
  6. Step 6: Final answer
    x = 1,004,124.20

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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.