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Finding the Third Proportional to 300,169.50 and 655,741.50

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Solution

The third proportional to 300,169.50 and 655,741.50 is: 1,432,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,169.50 : 655,741.50 = 655,741.50 : x
  2. Step 2: Convert to fraction form
    300,169.50/655,741.50 = 655,741.50/x
  3. Step 3: Cross multiply
    300,169.50x = 655,741.50 × 655,741.50
  4. Step 4: Simplify right side
    300,169.50x = 429,996,914,822.25
  5. Step 5: Solve for x
    x = 429,996,914,822.25/300,169.50
  6. Step 6: Final answer
    x = 1,432,513.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.