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Finding the Third Proportional to 213,546 and 327,558

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Solution

The third proportional to 213,546 and 327,558 is: 502,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,546 : 327,558 = 327,558 : x
  2. Step 2: Convert to fraction form
    213,546/327,558 = 327,558/x
  3. Step 3: Cross multiply
    213,546x = 327,558 × 327,558
  4. Step 4: Simplify right side
    213,546x = 107,294,243,364
  5. Step 5: Solve for x
    x = 107,294,243,364/213,546
  6. Step 6: Final answer
    x = 502,440.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.