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Finding the Third Proportional to 200,092 and 472,325

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Solution

The third proportional to 200,092 and 472,325 is: 1,114,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,092 : 472,325 = 472,325 : x
  2. Step 2: Convert to fraction form
    200,092/472,325 = 472,325/x
  3. Step 3: Cross multiply
    200,092x = 472,325 × 472,325
  4. Step 4: Simplify right side
    200,092x = 223,090,905,625
  5. Step 5: Solve for x
    x = 223,090,905,625/200,092
  6. Step 6: Final answer
    x = 1,114,941.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.