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Finding the Third Proportional to 289,656 and 605,793

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Solution

The third proportional to 289,656 and 605,793 is: 1,266,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,656 : 605,793 = 605,793 : x
  2. Step 2: Convert to fraction form
    289,656/605,793 = 605,793/x
  3. Step 3: Cross multiply
    289,656x = 605,793 × 605,793
  4. Step 4: Simplify right side
    289,656x = 366,985,158,849
  5. Step 5: Solve for x
    x = 366,985,158,849/289,656
  6. Step 6: Final answer
    x = 1,266,968.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.