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Finding the Third Proportional to 196,824 and 431,476

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Solution

The third proportional to 196,824 and 431,476 is: 945,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,824 : 431,476 = 431,476 : x
  2. Step 2: Convert to fraction form
    196,824/431,476 = 431,476/x
  3. Step 3: Cross multiply
    196,824x = 431,476 × 431,476
  4. Step 4: Simplify right side
    196,824x = 186,171,538,576
  5. Step 5: Solve for x
    x = 186,171,538,576/196,824
  6. Step 6: Final answer
    x = 945,878.24

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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.