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Finding the Third Proportional to 202,682 and 441,040

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Solution

The third proportional to 202,682 and 441,040 is: 959,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,682 : 441,040 = 441,040 : x
  2. Step 2: Convert to fraction form
    202,682/441,040 = 441,040/x
  3. Step 3: Cross multiply
    202,682x = 441,040 × 441,040
  4. Step 4: Simplify right side
    202,682x = 194,516,281,600
  5. Step 5: Solve for x
    x = 194,516,281,600/202,682
  6. Step 6: Final answer
    x = 959,711.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.