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Finding the Third Proportional to 214,984 and 447,612

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Solution

The third proportional to 214,984 and 447,612 is: 931,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,984 : 447,612 = 447,612 : x
  2. Step 2: Convert to fraction form
    214,984/447,612 = 447,612/x
  3. Step 3: Cross multiply
    214,984x = 447,612 × 447,612
  4. Step 4: Simplify right side
    214,984x = 200,356,502,544
  5. Step 5: Solve for x
    x = 200,356,502,544/214,984
  6. Step 6: Final answer
    x = 931,960.06

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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.