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Finding the Third Proportional to 212,029.31 and 461,454.75

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Solution

The third proportional to 212,029.31 and 461,454.75 is: 1,004,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,029.31 : 461,454.75 = 461,454.75 : x
  2. Step 2: Convert to fraction form
    212,029.31/461,454.75 = 461,454.75/x
  3. Step 3: Cross multiply
    212,029.31x = 461,454.75 × 461,454.75
  4. Step 4: Simplify right side
    212,029.31x = 212,940,486,297.56
  5. Step 5: Solve for x
    x = 212,940,486,297.56/212,029.31
  6. Step 6: Final answer
    x = 1,004,297.40

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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.