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Finding the Third Proportional to 220,636.75 and 476,265.25

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Solution

The third proportional to 220,636.75 and 476,265.25 is: 1,028,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,636.75 : 476,265.25 = 476,265.25 : x
  2. Step 2: Convert to fraction form
    220,636.75/476,265.25 = 476,265.25/x
  3. Step 3: Cross multiply
    220,636.75x = 476,265.25 × 476,265.25
  4. Step 4: Simplify right side
    220,636.75x = 226,828,588,357.56
  5. Step 5: Solve for x
    x = 226,828,588,357.56/220,636.75
  6. Step 6: Final answer
    x = 1,028,063.50

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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.