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Finding the Third Proportional to 260,844.75 and 549,708.75

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Solution

The third proportional to 260,844.75 and 549,708.75 is: 1,158,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,844.75 : 549,708.75 = 549,708.75 : x
  2. Step 2: Convert to fraction form
    260,844.75/549,708.75 = 549,708.75/x
  3. Step 3: Cross multiply
    260,844.75x = 549,708.75 × 549,708.75
  4. Step 4: Simplify right side
    260,844.75x = 302,179,709,826.56
  5. Step 5: Solve for x
    x = 302,179,709,826.56/260,844.75
  6. Step 6: Final answer
    x = 1,158,465.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.