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Finding the Third Proportional to 289,723.50 and 605,920.50

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Solution

The third proportional to 289,723.50 and 605,920.50 is: 1,267,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,723.50 : 605,920.50 = 605,920.50 : x
  2. Step 2: Convert to fraction form
    289,723.50/605,920.50 = 605,920.50/x
  3. Step 3: Cross multiply
    289,723.50x = 605,920.50 × 605,920.50
  4. Step 4: Simplify right side
    289,723.50x = 367,139,652,320.25
  5. Step 5: Solve for x
    x = 367,139,652,320.25/289,723.50
  6. Step 6: Final answer
    x = 1,267,207.02

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