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Finding the Third Proportional to 214,977 and 447,599.25

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Solution

The third proportional to 214,977 and 447,599.25 is: 931,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,977 : 447,599.25 = 447,599.25 : x
  2. Step 2: Convert to fraction form
    214,977/447,599.25 = 447,599.25/x
  3. Step 3: Cross multiply
    214,977x = 447,599.25 × 447,599.25
  4. Step 4: Simplify right side
    214,977x = 200,345,088,600.56
  5. Step 5: Solve for x
    x = 200,345,088,600.56/214,977
  6. Step 6: Final answer
    x = 931,937.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.