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Finding the Third Proportional to 196,526 and 461,971

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Solution

The third proportional to 196,526 and 461,971 is: 1,085,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,526 : 461,971 = 461,971 : x
  2. Step 2: Convert to fraction form
    196,526/461,971 = 461,971/x
  3. Step 3: Cross multiply
    196,526x = 461,971 × 461,971
  4. Step 4: Simplify right side
    196,526x = 213,417,204,841
  5. Step 5: Solve for x
    x = 213,417,204,841/196,526
  6. Step 6: Final answer
    x = 1,085,948.96

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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.