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Finding the Third Proportional to 222,647 and 456,202

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Solution

The third proportional to 222,647 and 456,202 is: 934,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,647 : 456,202 = 456,202 : x
  2. Step 2: Convert to fraction form
    222,647/456,202 = 456,202/x
  3. Step 3: Cross multiply
    222,647x = 456,202 × 456,202
  4. Step 4: Simplify right side
    222,647x = 208,120,264,804
  5. Step 5: Solve for x
    x = 208,120,264,804/222,647
  6. Step 6: Final answer
    x = 934,754.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.