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Finding the Third Proportional to 279,123 and 605,046

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Solution

The third proportional to 279,123 and 605,046 is: 1,311,538.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,123 : 605,046 = 605,046 : x
  2. Step 2: Convert to fraction form
    279,123/605,046 = 605,046/x
  3. Step 3: Cross multiply
    279,123x = 605,046 × 605,046
  4. Step 4: Simplify right side
    279,123x = 366,080,662,116
  5. Step 5: Solve for x
    x = 366,080,662,116/279,123
  6. Step 6: Final answer
    x = 1,311,538.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.