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Finding the Third Proportional to 196,528 and 461,976

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Solution

The third proportional to 196,528 and 461,976 is: 1,085,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,528 : 461,976 = 461,976 : x
  2. Step 2: Convert to fraction form
    196,528/461,976 = 461,976/x
  3. Step 3: Cross multiply
    196,528x = 461,976 × 461,976
  4. Step 4: Simplify right side
    196,528x = 213,421,824,576
  5. Step 5: Solve for x
    x = 213,421,824,576/196,528
  6. Step 6: Final answer
    x = 1,085,961.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.