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Finding the Third Proportional to 260,806.50 and 556,061.63

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Solution

The third proportional to 260,806.50 and 556,061.63 is: 1,185,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,806.50 : 556,061.63 = 556,061.63 : x
  2. Step 2: Convert to fraction form
    260,806.50/556,061.63 = 556,061.63/x
  3. Step 3: Cross multiply
    260,806.50x = 556,061.63 × 556,061.63
  4. Step 4: Simplify right side
    260,806.50x = 309,204,530,797.64
  5. Step 5: Solve for x
    x = 309,204,530,797.64/260,806.50
  6. Step 6: Final answer
    x = 1,185,570.65

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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.