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Finding the Third Proportional to 202,912 and 433,964

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Solution

The third proportional to 202,912 and 433,964 is: 928,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,912 : 433,964 = 433,964 : x
  2. Step 2: Convert to fraction form
    202,912/433,964 = 433,964/x
  3. Step 3: Cross multiply
    202,912x = 433,964 × 433,964
  4. Step 4: Simplify right side
    202,912x = 188,324,753,296
  5. Step 5: Solve for x
    x = 188,324,753,296/202,912
  6. Step 6: Final answer
    x = 928,110.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.