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Finding the Third Proportional to 214,010 and 455,668

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Solution

The third proportional to 214,010 and 455,668 is: 970,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,010 : 455,668 = 455,668 : x
  2. Step 2: Convert to fraction form
    214,010/455,668 = 455,668/x
  3. Step 3: Cross multiply
    214,010x = 455,668 × 455,668
  4. Step 4: Simplify right side
    214,010x = 207,633,326,224
  5. Step 5: Solve for x
    x = 207,633,326,224/214,010
  6. Step 6: Final answer
    x = 970,203.85

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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.