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Finding the Third Proportional to 300,852 and 655,672

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Solution

The third proportional to 300,852 and 655,672 is: 1,428,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,852 : 655,672 = 655,672 : x
  2. Step 2: Convert to fraction form
    300,852/655,672 = 655,672/x
  3. Step 3: Cross multiply
    300,852x = 655,672 × 655,672
  4. Step 4: Simplify right side
    300,852x = 429,905,771,584
  5. Step 5: Solve for x
    x = 429,905,771,584/300,852
  6. Step 6: Final answer
    x = 1,428,960.99

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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.