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Finding the Third Proportional to 311,830 and 344,636

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Solution

The third proportional to 311,830 and 344,636 is: 380,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,830 : 344,636 = 344,636 : x
  2. Step 2: Convert to fraction form
    311,830/344,636 = 344,636/x
  3. Step 3: Cross multiply
    311,830x = 344,636 × 344,636
  4. Step 4: Simplify right side
    311,830x = 118,773,972,496
  5. Step 5: Solve for x
    x = 118,773,972,496/311,830
  6. Step 6: Final answer
    x = 380,893.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.