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Finding the Third Proportional to 276,777 and 353,668.50

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Solution

The third proportional to 276,777 and 353,668.50 is: 451,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,777 : 353,668.50 = 353,668.50 : x
  2. Step 2: Convert to fraction form
    276,777/353,668.50 = 353,668.50/x
  3. Step 3: Cross multiply
    276,777x = 353,668.50 × 353,668.50
  4. Step 4: Simplify right side
    276,777x = 125,081,407,892.25
  5. Step 5: Solve for x
    x = 125,081,407,892.25/276,777
  6. Step 6: Final answer
    x = 451,921.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.