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Finding the Third Proportional to 227,730.38 and 486,995.63

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Solution

The third proportional to 227,730.38 and 486,995.63 is: 1,041,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,730.38 : 486,995.63 = 486,995.63 : x
  2. Step 2: Convert to fraction form
    227,730.38/486,995.63 = 486,995.63/x
  3. Step 3: Cross multiply
    227,730.38x = 486,995.63 × 486,995.63
  4. Step 4: Simplify right side
    227,730.38x = 237,164,738,769.14
  5. Step 5: Solve for x
    x = 237,164,738,769.14/227,730.38
  6. Step 6: Final answer
    x = 1,041,427.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.