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Finding the Third Proportional to 332,500 and 502,242

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Solution

The third proportional to 332,500 and 502,242 is: 758,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,500 : 502,242 = 502,242 : x
  2. Step 2: Convert to fraction form
    332,500/502,242 = 502,242/x
  3. Step 3: Cross multiply
    332,500x = 502,242 × 502,242
  4. Step 4: Simplify right side
    332,500x = 252,247,026,564
  5. Step 5: Solve for x
    x = 252,247,026,564/332,500
  6. Step 6: Final answer
    x = 758,637.67

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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.