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Finding the Third Proportional to 214,984 and 447,408

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Solution

The third proportional to 214,984 and 447,408 is: 931,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,984 : 447,408 = 447,408 : x
  2. Step 2: Convert to fraction form
    214,984/447,408 = 447,408/x
  3. Step 3: Cross multiply
    214,984x = 447,408 × 447,408
  4. Step 4: Simplify right side
    214,984x = 200,173,918,464
  5. Step 5: Solve for x
    x = 200,173,918,464/214,984
  6. Step 6: Final answer
    x = 931,110.77

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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.