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Finding the Third Proportional to 201,636 and 434,770

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Solution

The third proportional to 201,636 and 434,770 is: 937,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,636 : 434,770 = 434,770 : x
  2. Step 2: Convert to fraction form
    201,636/434,770 = 434,770/x
  3. Step 3: Cross multiply
    201,636x = 434,770 × 434,770
  4. Step 4: Simplify right side
    201,636x = 189,024,952,900
  5. Step 5: Solve for x
    x = 189,024,952,900/201,636
  6. Step 6: Final answer
    x = 937,456.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.