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Finding the Third Proportional to 376,202 and 804,172

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Solution

The third proportional to 376,202 and 804,172 is: 1,719,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,202 : 804,172 = 804,172 : x
  2. Step 2: Convert to fraction form
    376,202/804,172 = 804,172/x
  3. Step 3: Cross multiply
    376,202x = 804,172 × 804,172
  4. Step 4: Simplify right side
    376,202x = 646,692,605,584
  5. Step 5: Solve for x
    x = 646,692,605,584/376,202
  6. Step 6: Final answer
    x = 1,719,003.64

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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.