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Finding the Third Proportional to 260,723.81 and 549,468.56

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Solution

The third proportional to 260,723.81 and 549,468.56 is: 1,157,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,723.81 : 549,468.56 = 549,468.56 : x
  2. Step 2: Convert to fraction form
    260,723.81/549,468.56 = 549,468.56/x
  3. Step 3: Cross multiply
    260,723.81x = 549,468.56 × 549,468.56
  4. Step 4: Simplify right side
    260,723.81x = 301,915,701,175.82
  5. Step 5: Solve for x
    x = 301,915,701,175.82/260,723.81
  6. Step 6: Final answer
    x = 1,157,990.51

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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.