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Finding the Third Proportional to 368,041 and 792,457

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Solution

The third proportional to 368,041 and 792,457 is: 1,706,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,041 : 792,457 = 792,457 : x
  2. Step 2: Convert to fraction form
    368,041/792,457 = 792,457/x
  3. Step 3: Cross multiply
    368,041x = 792,457 × 792,457
  4. Step 4: Simplify right side
    368,041x = 627,988,096,849
  5. Step 5: Solve for x
    x = 627,988,096,849/368,041
  6. Step 6: Final answer
    x = 1,706,299.29

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Why These Related Problems?

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