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Finding the Third Proportional to 245,191 and 379,815

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Solution

The third proportional to 245,191 and 379,815 is: 588,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,191 : 379,815 = 379,815 : x
  2. Step 2: Convert to fraction form
    245,191/379,815 = 379,815/x
  3. Step 3: Cross multiply
    245,191x = 379,815 × 379,815
  4. Step 4: Simplify right side
    245,191x = 144,259,434,225
  5. Step 5: Solve for x
    x = 144,259,434,225/245,191
  6. Step 6: Final answer
    x = 588,355.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.