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Finding the Third Proportional to 196,897 and 429,429

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Solution

The third proportional to 196,897 and 429,429 is: 936,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,897 : 429,429 = 429,429 : x
  2. Step 2: Convert to fraction form
    196,897/429,429 = 429,429/x
  3. Step 3: Cross multiply
    196,897x = 429,429 × 429,429
  4. Step 4: Simplify right side
    196,897x = 184,409,266,041
  5. Step 5: Solve for x
    x = 184,409,266,041/196,897
  6. Step 6: Final answer
    x = 936,577.33

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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.