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Finding the Third Proportional to 196,954 and 429,542

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Solution

The third proportional to 196,954 and 429,542 is: 936,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,954 : 429,542 = 429,542 : x
  2. Step 2: Convert to fraction form
    196,954/429,542 = 429,542/x
  3. Step 3: Cross multiply
    196,954x = 429,542 × 429,542
  4. Step 4: Simplify right side
    196,954x = 184,506,329,764
  5. Step 5: Solve for x
    x = 184,506,329,764/196,954
  6. Step 6: Final answer
    x = 936,799.10

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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.