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Finding the Third Proportional to 196,435 and 428,854

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Solution

The third proportional to 196,435 and 428,854 is: 936,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,435 : 428,854 = 428,854 : x
  2. Step 2: Convert to fraction form
    196,435/428,854 = 428,854/x
  3. Step 3: Cross multiply
    196,435x = 428,854 × 428,854
  4. Step 4: Simplify right side
    196,435x = 183,915,753,316
  5. Step 5: Solve for x
    x = 183,915,753,316/196,435
  6. Step 6: Final answer
    x = 936,267.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.