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Finding the Third Proportional to 272,632 and 599,407

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Solution

The third proportional to 272,632 and 599,407 is: 1,317,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,632 : 599,407 = 599,407 : x
  2. Step 2: Convert to fraction form
    272,632/599,407 = 599,407/x
  3. Step 3: Cross multiply
    272,632x = 599,407 × 599,407
  4. Step 4: Simplify right side
    272,632x = 359,288,751,649
  5. Step 5: Solve for x
    x = 359,288,751,649/272,632
  6. Step 6: Final answer
    x = 1,317,852.46

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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.