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Finding the Third Proportional to 366,419 and 792,130

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Solution

The third proportional to 366,419 and 792,130 is: 1,712,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,419 : 792,130 = 792,130 : x
  2. Step 2: Convert to fraction form
    366,419/792,130 = 792,130/x
  3. Step 3: Cross multiply
    366,419x = 792,130 × 792,130
  4. Step 4: Simplify right side
    366,419x = 627,469,936,900
  5. Step 5: Solve for x
    x = 627,469,936,900/366,419
  6. Step 6: Final answer
    x = 1,712,438.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.