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Finding the Third Proportional to 196,677 and 431,262

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Solution

The third proportional to 196,677 and 431,262 is: 945,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,677 : 431,262 = 431,262 : x
  2. Step 2: Convert to fraction form
    196,677/431,262 = 431,262/x
  3. Step 3: Cross multiply
    196,677x = 431,262 × 431,262
  4. Step 4: Simplify right side
    196,677x = 185,986,912,644
  5. Step 5: Solve for x
    x = 185,986,912,644/196,677
  6. Step 6: Final answer
    x = 945,646.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.