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Finding the Third Proportional to 212,361.75 and 462,024

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Solution

The third proportional to 212,361.75 and 462,024 is: 1,005,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,361.75 : 462,024 = 462,024 : x
  2. Step 2: Convert to fraction form
    212,361.75/462,024 = 462,024/x
  3. Step 3: Cross multiply
    212,361.75x = 462,024 × 462,024
  4. Step 4: Simplify right side
    212,361.75x = 213,466,176,576
  5. Step 5: Solve for x
    x = 213,466,176,576/212,361.75
  6. Step 6: Final answer
    x = 1,005,200.69

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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.