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Finding the Third Proportional to 376,216 and 804,200

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Solution

The third proportional to 376,216 and 804,200 is: 1,719,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,216 : 804,200 = 804,200 : x
  2. Step 2: Convert to fraction form
    376,216/804,200 = 804,200/x
  3. Step 3: Cross multiply
    376,216x = 804,200 × 804,200
  4. Step 4: Simplify right side
    376,216x = 646,737,640,000
  5. Step 5: Solve for x
    x = 646,737,640,000/376,216
  6. Step 6: Final answer
    x = 1,719,059.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.