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Finding the Third Proportional to 270,157 and 587,881

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Solution

The third proportional to 270,157 and 587,881 is: 1,279,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,157 : 587,881 = 587,881 : x
  2. Step 2: Convert to fraction form
    270,157/587,881 = 587,881/x
  3. Step 3: Cross multiply
    270,157x = 587,881 × 587,881
  4. Step 4: Simplify right side
    270,157x = 345,604,070,161
  5. Step 5: Solve for x
    x = 345,604,070,161/270,157
  6. Step 6: Final answer
    x = 1,279,271.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.