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Finding the Third Proportional to 447,576 and 683,053

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Solution

The third proportional to 447,576 and 683,053 is: 1,042,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,576 : 683,053 = 683,053 : x
  2. Step 2: Convert to fraction form
    447,576/683,053 = 683,053/x
  3. Step 3: Cross multiply
    447,576x = 683,053 × 683,053
  4. Step 4: Simplify right side
    447,576x = 466,561,400,809
  5. Step 5: Solve for x
    x = 466,561,400,809/447,576
  6. Step 6: Final answer
    x = 1,042,418.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.