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Finding the Third Proportional to 220,749.75 and 476,778

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Solution

The third proportional to 220,749.75 and 476,778 is: 1,029,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,749.75 : 476,778 = 476,778 : x
  2. Step 2: Convert to fraction form
    220,749.75/476,778 = 476,778/x
  3. Step 3: Cross multiply
    220,749.75x = 476,778 × 476,778
  4. Step 4: Simplify right side
    220,749.75x = 227,317,261,284
  5. Step 5: Solve for x
    x = 227,317,261,284/220,749.75
  6. Step 6: Final answer
    x = 1,029,750.93

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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.