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Finding the Third Proportional to 199,529 and 430,710

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Solution

The third proportional to 199,529 and 430,710 is: 929,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,529 : 430,710 = 430,710 : x
  2. Step 2: Convert to fraction form
    199,529/430,710 = 430,710/x
  3. Step 3: Cross multiply
    199,529x = 430,710 × 430,710
  4. Step 4: Simplify right side
    199,529x = 185,511,104,100
  5. Step 5: Solve for x
    x = 185,511,104,100/199,529
  6. Step 6: Final answer
    x = 929,745.07

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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.