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Finding the Third Proportional to 258,309.38 and 556,200.75

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Solution

The third proportional to 258,309.38 and 556,200.75 is: 1,197,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,309.38 : 556,200.75 = 556,200.75 : x
  2. Step 2: Convert to fraction form
    258,309.38/556,200.75 = 556,200.75/x
  3. Step 3: Cross multiply
    258,309.38x = 556,200.75 × 556,200.75
  4. Step 4: Simplify right side
    258,309.38x = 309,359,274,300.56
  5. Step 5: Solve for x
    x = 309,359,274,300.56/258,309.38
  6. Step 6: Final answer
    x = 1,197,630.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.