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Finding the Third Proportional to 332,512 and 502,260

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Solution

The third proportional to 332,512 and 502,260 is: 758,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,512 : 502,260 = 502,260 : x
  2. Step 2: Convert to fraction form
    332,512/502,260 = 502,260/x
  3. Step 3: Cross multiply
    332,512x = 502,260 × 502,260
  4. Step 4: Simplify right side
    332,512x = 252,265,107,600
  5. Step 5: Solve for x
    x = 252,265,107,600/332,512
  6. Step 6: Final answer
    x = 758,664.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.