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Finding the Third Proportional to 355,902 and 783,105

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Solution

The third proportional to 355,902 and 783,105 is: 1,723,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,902 : 783,105 = 783,105 : x
  2. Step 2: Convert to fraction form
    355,902/783,105 = 783,105/x
  3. Step 3: Cross multiply
    355,902x = 783,105 × 783,105
  4. Step 4: Simplify right side
    355,902x = 613,253,441,025
  5. Step 5: Solve for x
    x = 613,253,441,025/355,902
  6. Step 6: Final answer
    x = 1,723,096.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.