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Finding the Third Proportional to 202,873 and 432,884

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Solution

The third proportional to 202,873 and 432,884 is: 923,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,873 : 432,884 = 432,884 : x
  2. Step 2: Convert to fraction form
    202,873/432,884 = 432,884/x
  3. Step 3: Cross multiply
    202,873x = 432,884 × 432,884
  4. Step 4: Simplify right side
    202,873x = 187,388,557,456
  5. Step 5: Solve for x
    x = 187,388,557,456/202,873
  6. Step 6: Final answer
    x = 923,674.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.