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Finding the Third Proportional to 196,569 and 426,519

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Solution

The third proportional to 196,569 and 426,519 is: 925,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,569 : 426,519 = 426,519 : x
  2. Step 2: Convert to fraction form
    196,569/426,519 = 426,519/x
  3. Step 3: Cross multiply
    196,569x = 426,519 × 426,519
  4. Step 4: Simplify right side
    196,569x = 181,918,457,361
  5. Step 5: Solve for x
    x = 181,918,457,361/196,569
  6. Step 6: Final answer
    x = 925,468.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.