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Finding the Third Proportional to 200,601 and 483,337

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Solution

The third proportional to 200,601 and 483,337 is: 1,164,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,601 : 483,337 = 483,337 : x
  2. Step 2: Convert to fraction form
    200,601/483,337 = 483,337/x
  3. Step 3: Cross multiply
    200,601x = 483,337 × 483,337
  4. Step 4: Simplify right side
    200,601x = 233,614,655,569
  5. Step 5: Solve for x
    x = 233,614,655,569/200,601
  6. Step 6: Final answer
    x = 1,164,573.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.