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Finding the Third Proportional to 259,684 and 391,233

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Solution

The third proportional to 259,684 and 391,233 is: 589,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,684 : 391,233 = 391,233 : x
  2. Step 2: Convert to fraction form
    259,684/391,233 = 391,233/x
  3. Step 3: Cross multiply
    259,684x = 391,233 × 391,233
  4. Step 4: Simplify right side
    259,684x = 153,063,260,289
  5. Step 5: Solve for x
    x = 153,063,260,289/259,684
  6. Step 6: Final answer
    x = 589,421.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.