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Finding the Third Proportional to 214,011 and 455,670

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Solution

The third proportional to 214,011 and 455,670 is: 970,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,011 : 455,670 = 455,670 : x
  2. Step 2: Convert to fraction form
    214,011/455,670 = 455,670/x
  3. Step 3: Cross multiply
    214,011x = 455,670 × 455,670
  4. Step 4: Simplify right side
    214,011x = 207,635,148,900
  5. Step 5: Solve for x
    x = 207,635,148,900/214,011
  6. Step 6: Final answer
    x = 970,207.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.