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Finding the Third Proportional to 227,026.55 and 481,726.62

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Solution

The third proportional to 227,026.55 and 481,726.62 is: 1,022,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,026.55 : 481,726.62 = 481,726.62 : x
  2. Step 2: Convert to fraction form
    227,026.55/481,726.62 = 481,726.62/x
  3. Step 3: Cross multiply
    227,026.55x = 481,726.62 × 481,726.62
  4. Step 4: Simplify right side
    227,026.55x = 232,060,533,706.91
  5. Step 5: Solve for x
    x = 232,060,533,706.91/227,026.55
  6. Step 6: Final answer
    x = 1,022,173.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.