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Finding the Third Proportional to 219,193 and 478,967

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Solution

The third proportional to 219,193 and 478,967 is: 1,046,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,193 : 478,967 = 478,967 : x
  2. Step 2: Convert to fraction form
    219,193/478,967 = 478,967/x
  3. Step 3: Cross multiply
    219,193x = 478,967 × 478,967
  4. Step 4: Simplify right side
    219,193x = 229,409,387,089
  5. Step 5: Solve for x
    x = 229,409,387,089/219,193
  6. Step 6: Final answer
    x = 1,046,609.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.