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Finding the Third Proportional to 214,985 and 447,614

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Solution

The third proportional to 214,985 and 447,614 is: 931,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,985 : 447,614 = 447,614 : x
  2. Step 2: Convert to fraction form
    214,985/447,614 = 447,614/x
  3. Step 3: Cross multiply
    214,985x = 447,614 × 447,614
  4. Step 4: Simplify right side
    214,985x = 200,358,292,996
  5. Step 5: Solve for x
    x = 200,358,292,996/214,985
  6. Step 6: Final answer
    x = 931,964.06

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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.