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Finding the Third Proportional to 260,811 and 556,069.50

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Solution

The third proportional to 260,811 and 556,069.50 is: 1,185,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,811 : 556,069.50 = 556,069.50 : x
  2. Step 2: Convert to fraction form
    260,811/556,069.50 = 556,069.50/x
  3. Step 3: Cross multiply
    260,811x = 556,069.50 × 556,069.50
  4. Step 4: Simplify right side
    260,811x = 309,213,288,830.25
  5. Step 5: Solve for x
    x = 309,213,288,830.25/260,811
  6. Step 6: Final answer
    x = 1,185,583.77

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.