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Finding the Third Proportional to 211,075 and 444,017

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Solution

The third proportional to 211,075 and 444,017 is: 934,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,075 : 444,017 = 444,017 : x
  2. Step 2: Convert to fraction form
    211,075/444,017 = 444,017/x
  3. Step 3: Cross multiply
    211,075x = 444,017 × 444,017
  4. Step 4: Simplify right side
    211,075x = 197,151,096,289
  5. Step 5: Solve for x
    x = 197,151,096,289/211,075
  6. Step 6: Final answer
    x = 934,033.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.