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Finding the Third Proportional to 227,758.39 and 527,273.46

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Solution

The third proportional to 227,758.39 and 527,273.46 is: 1,220,667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,758.39 : 527,273.46 = 527,273.46 : x
  2. Step 2: Convert to fraction form
    227,758.39/527,273.46 = 527,273.46/x
  3. Step 3: Cross multiply
    227,758.39x = 527,273.46 × 527,273.46
  4. Step 4: Simplify right side
    227,758.39x = 278,017,296,430.02
  5. Step 5: Solve for x
    x = 278,017,296,430.02/227,758.39
  6. Step 6: Final answer
    x = 1,220,667.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.