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Finding the Third Proportional to 276,409 and 580,668.50

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Solution

The third proportional to 276,409 and 580,668.50 is: 1,219,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,409 : 580,668.50 = 580,668.50 : x
  2. Step 2: Convert to fraction form
    276,409/580,668.50 = 580,668.50/x
  3. Step 3: Cross multiply
    276,409x = 580,668.50 × 580,668.50
  4. Step 4: Simplify right side
    276,409x = 337,175,906,892.25
  5. Step 5: Solve for x
    x = 337,175,906,892.25/276,409
  6. Step 6: Final answer
    x = 1,219,844.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.