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Finding the Third Proportional to 212,562 and 449,118

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Solution

The third proportional to 212,562 and 449,118 is: 948,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,562 : 449,118 = 449,118 : x
  2. Step 2: Convert to fraction form
    212,562/449,118 = 449,118/x
  3. Step 3: Cross multiply
    212,562x = 449,118 × 449,118
  4. Step 4: Simplify right side
    212,562x = 201,706,977,924
  5. Step 5: Solve for x
    x = 201,706,977,924/212,562
  6. Step 6: Final answer
    x = 948,932.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.