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Finding the Third Proportional to 199,636 and 432,847

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Solution

The third proportional to 199,636 and 432,847 is: 938,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,636 : 432,847 = 432,847 : x
  2. Step 2: Convert to fraction form
    199,636/432,847 = 432,847/x
  3. Step 3: Cross multiply
    199,636x = 432,847 × 432,847
  4. Step 4: Simplify right side
    199,636x = 187,356,525,409
  5. Step 5: Solve for x
    x = 187,356,525,409/199,636
  6. Step 6: Final answer
    x = 938,490.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.