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Finding the Third Proportional to 196,996 and 435,464

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Solution

The third proportional to 196,996 and 435,464 is: 962,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,996 : 435,464 = 435,464 : x
  2. Step 2: Convert to fraction form
    196,996/435,464 = 435,464/x
  3. Step 3: Cross multiply
    196,996x = 435,464 × 435,464
  4. Step 4: Simplify right side
    196,996x = 189,628,895,296
  5. Step 5: Solve for x
    x = 189,628,895,296/196,996
  6. Step 6: Final answer
    x = 962,602.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.