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Finding the Third Proportional to 192,580 and 429,416

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Solution

The third proportional to 192,580 and 429,416 is: 957,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,580 : 429,416 = 429,416 : x
  2. Step 2: Convert to fraction form
    192,580/429,416 = 429,416/x
  3. Step 3: Cross multiply
    192,580x = 429,416 × 429,416
  4. Step 4: Simplify right side
    192,580x = 184,398,101,056
  5. Step 5: Solve for x
    x = 184,398,101,056/192,580
  6. Step 6: Final answer
    x = 957,514.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.