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Finding the Third Proportional to 200,032 and 433,415

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Solution

The third proportional to 200,032 and 433,415 is: 939,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,032 : 433,415 = 433,415 : x
  2. Step 2: Convert to fraction form
    200,032/433,415 = 433,415/x
  3. Step 3: Cross multiply
    200,032x = 433,415 × 433,415
  4. Step 4: Simplify right side
    200,032x = 187,848,562,225
  5. Step 5: Solve for x
    x = 187,848,562,225/200,032
  6. Step 6: Final answer
    x = 939,092.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.