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Finding the Third Proportional to 202,914 and 432,990

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Solution

The third proportional to 202,914 and 432,990 is: 923,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,914 : 432,990 = 432,990 : x
  2. Step 2: Convert to fraction form
    202,914/432,990 = 432,990/x
  3. Step 3: Cross multiply
    202,914x = 432,990 × 432,990
  4. Step 4: Simplify right side
    202,914x = 187,480,340,100
  5. Step 5: Solve for x
    x = 187,480,340,100/202,914
  6. Step 6: Final answer
    x = 923,939.90

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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.