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Finding the Third Proportional to 196,924 and 433,212

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Solution

The third proportional to 196,924 and 433,212 is: 953,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,924 : 433,212 = 433,212 : x
  2. Step 2: Convert to fraction form
    196,924/433,212 = 433,212/x
  3. Step 3: Cross multiply
    196,924x = 433,212 × 433,212
  4. Step 4: Simplify right side
    196,924x = 187,672,636,944
  5. Step 5: Solve for x
    x = 187,672,636,944/196,924
  6. Step 6: Final answer
    x = 953,020.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.