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Finding the Third Proportional to 196,804 and 431,435

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Solution

The third proportional to 196,804 and 431,435 is: 945,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,804 : 431,435 = 431,435 : x
  2. Step 2: Convert to fraction form
    196,804/431,435 = 431,435/x
  3. Step 3: Cross multiply
    196,804x = 431,435 × 431,435
  4. Step 4: Simplify right side
    196,804x = 186,136,159,225
  5. Step 5: Solve for x
    x = 186,136,159,225/196,804
  6. Step 6: Final answer
    x = 945,794.59

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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.