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Finding the Third Proportional to 220,741 and 476,763

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Solution

The third proportional to 220,741 and 476,763 is: 1,029,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,741 : 476,763 = 476,763 : x
  2. Step 2: Convert to fraction form
    220,741/476,763 = 476,763/x
  3. Step 3: Cross multiply
    220,741x = 476,763 × 476,763
  4. Step 4: Simplify right side
    220,741x = 227,302,958,169
  5. Step 5: Solve for x
    x = 227,302,958,169/220,741
  6. Step 6: Final answer
    x = 1,029,726.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.