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Finding the Third Proportional to 219,447 and 479,106

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Solution

The third proportional to 219,447 and 479,106 is: 1,046,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,447 : 479,106 = 479,106 : x
  2. Step 2: Convert to fraction form
    219,447/479,106 = 479,106/x
  3. Step 3: Cross multiply
    219,447x = 479,106 × 479,106
  4. Step 4: Simplify right side
    219,447x = 229,542,559,236
  5. Step 5: Solve for x
    x = 229,542,559,236/219,447
  6. Step 6: Final answer
    x = 1,046,004.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.