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Finding the Third Proportional to 279,711 and 613,858.50

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Solution

The third proportional to 279,711 and 613,858.50 is: 1,347,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,711 : 613,858.50 = 613,858.50 : x
  2. Step 2: Convert to fraction form
    279,711/613,858.50 = 613,858.50/x
  3. Step 3: Cross multiply
    279,711x = 613,858.50 × 613,858.50
  4. Step 4: Simplify right side
    279,711x = 376,822,258,022.25
  5. Step 5: Solve for x
    x = 376,822,258,022.25/279,711
  6. Step 6: Final answer
    x = 1,347,184.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.