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Finding the Third Proportional to 196,962 and 429,572

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Solution

The third proportional to 196,962 and 429,572 is: 936,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,962 : 429,572 = 429,572 : x
  2. Step 2: Convert to fraction form
    196,962/429,572 = 429,572/x
  3. Step 3: Cross multiply
    196,962x = 429,572 × 429,572
  4. Step 4: Simplify right side
    196,962x = 184,532,103,184
  5. Step 5: Solve for x
    x = 184,532,103,184/196,962
  6. Step 6: Final answer
    x = 936,891.90

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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.