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Finding the Third Proportional to 309,852 and 656,903.25

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Solution

The third proportional to 309,852 and 656,903.25 is: 1,392,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,852 : 656,903.25 = 656,903.25 : x
  2. Step 2: Convert to fraction form
    309,852/656,903.25 = 656,903.25/x
  3. Step 3: Cross multiply
    309,852x = 656,903.25 × 656,903.25
  4. Step 4: Simplify right side
    309,852x = 431,521,879,860.56
  5. Step 5: Solve for x
    x = 431,521,879,860.56/309,852
  6. Step 6: Final answer
    x = 1,392,670.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.