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Finding the Third Proportional to 270,636 and 587,379

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Solution

The third proportional to 270,636 and 587,379 is: 1,274,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,636 : 587,379 = 587,379 : x
  2. Step 2: Convert to fraction form
    270,636/587,379 = 587,379/x
  3. Step 3: Cross multiply
    270,636x = 587,379 × 587,379
  4. Step 4: Simplify right side
    270,636x = 345,014,089,641
  5. Step 5: Solve for x
    x = 345,014,089,641/270,636
  6. Step 6: Final answer
    x = 1,274,827.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.