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Finding the Third Proportional to 332,238 and 501,813

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Solution

The third proportional to 332,238 and 501,813 is: 757,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,238 : 501,813 = 501,813 : x
  2. Step 2: Convert to fraction form
    332,238/501,813 = 501,813/x
  3. Step 3: Cross multiply
    332,238x = 501,813 × 501,813
  4. Step 4: Simplify right side
    332,238x = 251,816,286,969
  5. Step 5: Solve for x
    x = 251,816,286,969/332,238
  6. Step 6: Final answer
    x = 757,939.45

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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.