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Finding the Third Proportional to 223,443 and 478,863

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Solution

The third proportional to 223,443 and 478,863 is: 1,026,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,443 : 478,863 = 478,863 : x
  2. Step 2: Convert to fraction form
    223,443/478,863 = 478,863/x
  3. Step 3: Cross multiply
    223,443x = 478,863 × 478,863
  4. Step 4: Simplify right side
    223,443x = 229,309,772,769
  5. Step 5: Solve for x
    x = 229,309,772,769/223,443
  6. Step 6: Final answer
    x = 1,026,256.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.