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Finding the Third Proportional to 281,114 and 605,212

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Solution

The third proportional to 281,114 and 605,212 is: 1,302,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,114 : 605,212 = 605,212 : x
  2. Step 2: Convert to fraction form
    281,114/605,212 = 605,212/x
  3. Step 3: Cross multiply
    281,114x = 605,212 × 605,212
  4. Step 4: Simplify right side
    281,114x = 366,281,564,944
  5. Step 5: Solve for x
    x = 366,281,564,944/281,114
  6. Step 6: Final answer
    x = 1,302,964.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.