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Finding the Third Proportional to 207,255 and 443,913

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Solution

The third proportional to 207,255 and 443,913 is: 950,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,255 : 443,913 = 443,913 : x
  2. Step 2: Convert to fraction form
    207,255/443,913 = 443,913/x
  3. Step 3: Cross multiply
    207,255x = 443,913 × 443,913
  4. Step 4: Simplify right side
    207,255x = 197,058,751,569
  5. Step 5: Solve for x
    x = 197,058,751,569/207,255
  6. Step 6: Final answer
    x = 950,803.37

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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.