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Finding the Third Proportional to 360,411 and 792,765

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Solution

The third proportional to 360,411 and 792,765 is: 1,743,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,411 : 792,765 = 792,765 : x
  2. Step 2: Convert to fraction form
    360,411/792,765 = 792,765/x
  3. Step 3: Cross multiply
    360,411x = 792,765 × 792,765
  4. Step 4: Simplify right side
    360,411x = 628,476,345,225
  5. Step 5: Solve for x
    x = 628,476,345,225/360,411
  6. Step 6: Final answer
    x = 1,743,776.81

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Why These Related Problems?

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