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Finding the Third Proportional to 211,056 and 449,793

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Solution

The third proportional to 211,056 and 449,793 is: 958,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,056 : 449,793 = 449,793 : x
  2. Step 2: Convert to fraction form
    211,056/449,793 = 449,793/x
  3. Step 3: Cross multiply
    211,056x = 449,793 × 449,793
  4. Step 4: Simplify right side
    211,056x = 202,313,742,849
  5. Step 5: Solve for x
    x = 202,313,742,849/211,056
  6. Step 6: Final answer
    x = 958,578.50

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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.