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Finding the Third Proportional to 317,256.50 and 467,112.75

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Solution

The third proportional to 317,256.50 and 467,112.75 is: 687,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,256.50 : 467,112.75 = 467,112.75 : x
  2. Step 2: Convert to fraction form
    317,256.50/467,112.75 = 467,112.75/x
  3. Step 3: Cross multiply
    317,256.50x = 467,112.75 × 467,112.75
  4. Step 4: Simplify right side
    317,256.50x = 218,194,321,212.56
  5. Step 5: Solve for x
    x = 218,194,321,212.56/317,256.50
  6. Step 6: Final answer
    x = 687,753.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.