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Finding the Third Proportional to 196,443 and 427,887

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Solution

The third proportional to 196,443 and 427,887 is: 932,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,443 : 427,887 = 427,887 : x
  2. Step 2: Convert to fraction form
    196,443/427,887 = 427,887/x
  3. Step 3: Cross multiply
    196,443x = 427,887 × 427,887
  4. Step 4: Simplify right side
    196,443x = 183,087,284,769
  5. Step 5: Solve for x
    x = 183,087,284,769/196,443
  6. Step 6: Final answer
    x = 932,012.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.