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Finding the Third Proportional to 199,622 and 432,819

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Solution

The third proportional to 199,622 and 432,819 is: 938,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,622 : 432,819 = 432,819 : x
  2. Step 2: Convert to fraction form
    199,622/432,819 = 432,819/x
  3. Step 3: Cross multiply
    199,622x = 432,819 × 432,819
  4. Step 4: Simplify right side
    199,622x = 187,332,286,761
  5. Step 5: Solve for x
    x = 187,332,286,761/199,622
  6. Step 6: Final answer
    x = 938,435.08

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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.