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Finding the Third Proportional to 293,035.22 and 622,042.03

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Solution

The third proportional to 293,035.22 and 622,042.03 is: 1,320,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,035.22 : 622,042.03 = 622,042.03 : x
  2. Step 2: Convert to fraction form
    293,035.22/622,042.03 = 622,042.03/x
  3. Step 3: Cross multiply
    293,035.22x = 622,042.03 × 622,042.03
  4. Step 4: Simplify right side
    293,035.22x = 386,936,288,641.63
  5. Step 5: Solve for x
    x = 386,936,288,641.63/293,035.22
  6. Step 6: Final answer
    x = 1,320,442.95

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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.