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Finding the Third Proportional to 196,972 and 417,576

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Solution

The third proportional to 196,972 and 417,576 is: 885,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,972 : 417,576 = 417,576 : x
  2. Step 2: Convert to fraction form
    196,972/417,576 = 417,576/x
  3. Step 3: Cross multiply
    196,972x = 417,576 × 417,576
  4. Step 4: Simplify right side
    196,972x = 174,369,715,776
  5. Step 5: Solve for x
    x = 174,369,715,776/196,972
  6. Step 6: Final answer
    x = 885,251.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.