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Finding the Third Proportional to 227,580 and 327,820

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Solution

The third proportional to 227,580 and 327,820 is: 472,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,580 : 327,820 = 327,820 : x
  2. Step 2: Convert to fraction form
    227,580/327,820 = 327,820/x
  3. Step 3: Cross multiply
    227,580x = 327,820 × 327,820
  4. Step 4: Simplify right side
    227,580x = 107,465,952,400
  5. Step 5: Solve for x
    x = 107,465,952,400/227,580
  6. Step 6: Final answer
    x = 472,211.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.