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Finding the Third Proportional to 311,932 and 434,613

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Solution

The third proportional to 311,932 and 434,613 is: 605,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,932 : 434,613 = 434,613 : x
  2. Step 2: Convert to fraction form
    311,932/434,613 = 434,613/x
  3. Step 3: Cross multiply
    311,932x = 434,613 × 434,613
  4. Step 4: Simplify right side
    311,932x = 188,888,459,769
  5. Step 5: Solve for x
    x = 188,888,459,769/311,932
  6. Step 6: Final answer
    x = 605,543.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.