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Finding the Third Proportional to 475,771.22 and 728,726.63

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Solution

The third proportional to 475,771.22 and 728,726.63 is: 1,116,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,771.22 : 728,726.63 = 728,726.63 : x
  2. Step 2: Convert to fraction form
    475,771.22/728,726.63 = 728,726.63/x
  3. Step 3: Cross multiply
    475,771.22x = 728,726.63 × 728,726.63
  4. Step 4: Simplify right side
    475,771.22x = 531,042,493,983.89
  5. Step 5: Solve for x
    x = 531,042,493,983.89/475,771.22
  6. Step 6: Final answer
    x = 1,116,171.96

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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.