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Finding the Third Proportional to 332,237.25 and 502,319.25

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Solution

The third proportional to 332,237.25 and 502,319.25 is: 759,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,237.25 : 502,319.25 = 502,319.25 : x
  2. Step 2: Convert to fraction form
    332,237.25/502,319.25 = 502,319.25/x
  3. Step 3: Cross multiply
    332,237.25x = 502,319.25 × 502,319.25
  4. Step 4: Simplify right side
    332,237.25x = 252,324,628,920.56
  5. Step 5: Solve for x
    x = 252,324,628,920.56/332,237.25
  6. Step 6: Final answer
    x = 759,471.22

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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.