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Finding the Third Proportional to 196,946 and 429,538

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Solution

The third proportional to 196,946 and 429,538 is: 936,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,946 : 429,538 = 429,538 : x
  2. Step 2: Convert to fraction form
    196,946/429,538 = 429,538/x
  3. Step 3: Cross multiply
    196,946x = 429,538 × 429,538
  4. Step 4: Simplify right side
    196,946x = 184,502,893,444
  5. Step 5: Solve for x
    x = 184,502,893,444/196,946
  6. Step 6: Final answer
    x = 936,819.70

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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.