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Finding the Third Proportional to 196,859 and 429,804

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Solution

The third proportional to 196,859 and 429,804 is: 938,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,859 : 429,804 = 429,804 : x
  2. Step 2: Convert to fraction form
    196,859/429,804 = 429,804/x
  3. Step 3: Cross multiply
    196,859x = 429,804 × 429,804
  4. Step 4: Simplify right side
    196,859x = 184,731,478,416
  5. Step 5: Solve for x
    x = 184,731,478,416/196,859
  6. Step 6: Final answer
    x = 938,394.88

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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.