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Finding the Third Proportional to 260,830.13 and 549,679.29

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Solution

The third proportional to 260,830.13 and 549,679.29 is: 1,158,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,830.13 : 549,679.29 = 549,679.29 : x
  2. Step 2: Convert to fraction form
    260,830.13/549,679.29 = 549,679.29/x
  3. Step 3: Cross multiply
    260,830.13x = 549,679.29 × 549,679.29
  4. Step 4: Simplify right side
    260,830.13x = 302,147,320,824.26
  5. Step 5: Solve for x
    x = 302,147,320,824.26/260,830.13
  6. Step 6: Final answer
    x = 1,158,406.53

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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.