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Finding the Third Proportional to 262,851.75 and 411,797.25

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Solution

The third proportional to 262,851.75 and 411,797.25 is: 645,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,851.75 : 411,797.25 = 411,797.25 : x
  2. Step 2: Convert to fraction form
    262,851.75/411,797.25 = 411,797.25/x
  3. Step 3: Cross multiply
    262,851.75x = 411,797.25 × 411,797.25
  4. Step 4: Simplify right side
    262,851.75x = 169,576,975,107.56
  5. Step 5: Solve for x
    x = 169,576,975,107.56/262,851.75
  6. Step 6: Final answer
    x = 645,143.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.