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Finding the Third Proportional to 208,438 and 449,030

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Solution

The third proportional to 208,438 and 449,030 is: 967,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438 : 449,030 = 449,030 : x
  2. Step 2: Convert to fraction form
    208,438/449,030 = 449,030/x
  3. Step 3: Cross multiply
    208,438x = 449,030 × 449,030
  4. Step 4: Simplify right side
    208,438x = 201,627,940,900
  5. Step 5: Solve for x
    x = 201,627,940,900/208,438
  6. Step 6: Final answer
    x = 967,328.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.