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Finding the Third Proportional to 196,983 and 429,615

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Solution

The third proportional to 196,983 and 429,615 is: 936,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,983 : 429,615 = 429,615 : x
  2. Step 2: Convert to fraction form
    196,983/429,615 = 429,615/x
  3. Step 3: Cross multiply
    196,983x = 429,615 × 429,615
  4. Step 4: Simplify right side
    196,983x = 184,569,048,225
  5. Step 5: Solve for x
    x = 184,569,048,225/196,983
  6. Step 6: Final answer
    x = 936,979.58

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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.