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Finding the Third Proportional to 259,464 and 389,196

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Solution

The third proportional to 259,464 and 389,196 is: 583,794

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,464 : 389,196 = 389,196 : x
  2. Step 2: Convert to fraction form
    259,464/389,196 = 389,196/x
  3. Step 3: Cross multiply
    259,464x = 389,196 × 389,196
  4. Step 4: Simplify right side
    259,464x = 151,473,526,416
  5. Step 5: Solve for x
    x = 151,473,526,416/259,464
  6. Step 6: Final answer
    x = 583,794

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.