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Finding the Third Proportional to 262,361 and 383,214

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Solution

The third proportional to 262,361 and 383,214 is: 559,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,361 : 383,214 = 383,214 : x
  2. Step 2: Convert to fraction form
    262,361/383,214 = 383,214/x
  3. Step 3: Cross multiply
    262,361x = 383,214 × 383,214
  4. Step 4: Simplify right side
    262,361x = 146,852,969,796
  5. Step 5: Solve for x
    x = 146,852,969,796/262,361
  6. Step 6: Final answer
    x = 559,736.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.