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Finding the Third Proportional to 212,417.44 and 449,438.63

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Solution

The third proportional to 212,417.44 and 449,438.63 is: 950,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,417.44 : 449,438.63 = 449,438.63 : x
  2. Step 2: Convert to fraction form
    212,417.44/449,438.63 = 449,438.63/x
  3. Step 3: Cross multiply
    212,417.44x = 449,438.63 × 449,438.63
  4. Step 4: Simplify right side
    212,417.44x = 201,995,077,641.89
  5. Step 5: Solve for x
    x = 201,995,077,641.89/212,417.44
  6. Step 6: Final answer
    x = 950,934.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.