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Finding the Third Proportional to 260,975.25 and 556,132.50

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Solution

The third proportional to 260,975.25 and 556,132.50 is: 1,185,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,975.25 : 556,132.50 = 556,132.50 : x
  2. Step 2: Convert to fraction form
    260,975.25/556,132.50 = 556,132.50/x
  3. Step 3: Cross multiply
    260,975.25x = 556,132.50 × 556,132.50
  4. Step 4: Simplify right side
    260,975.25x = 309,283,357,556.25
  5. Step 5: Solve for x
    x = 309,283,357,556.25/260,975.25
  6. Step 6: Final answer
    x = 1,185,106.09

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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.