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Finding the Third Proportional to 227,581 and 469,863

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Solution

The third proportional to 227,581 and 469,863 is: 970,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,581 : 469,863 = 469,863 : x
  2. Step 2: Convert to fraction form
    227,581/469,863 = 469,863/x
  3. Step 3: Cross multiply
    227,581x = 469,863 × 469,863
  4. Step 4: Simplify right side
    227,581x = 220,771,238,769
  5. Step 5: Solve for x
    x = 220,771,238,769/227,581
  6. Step 6: Final answer
    x = 970,077.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.