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Finding the Third Proportional to 220,795.88 and 476,563.50

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Solution

The third proportional to 220,795.88 and 476,563.50 is: 1,028,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,795.88 : 476,563.50 = 476,563.50 : x
  2. Step 2: Convert to fraction form
    220,795.88/476,563.50 = 476,563.50/x
  3. Step 3: Cross multiply
    220,795.88x = 476,563.50 × 476,563.50
  4. Step 4: Simplify right side
    220,795.88x = 227,112,769,532.25
  5. Step 5: Solve for x
    x = 227,112,769,532.25/220,795.88
  6. Step 6: Final answer
    x = 1,028,609.66

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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.