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Finding the Third Proportional to 360,412 and 792,769

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Solution

The third proportional to 360,412 and 792,769 is: 1,743,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,412 : 792,769 = 792,769 : x
  2. Step 2: Convert to fraction form
    360,412/792,769 = 792,769/x
  3. Step 3: Cross multiply
    360,412x = 792,769 × 792,769
  4. Step 4: Simplify right side
    360,412x = 628,482,687,361
  5. Step 5: Solve for x
    x = 628,482,687,361/360,412
  6. Step 6: Final answer
    x = 1,743,789.57

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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.