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Finding the Third Proportional to 220,818 and 476,628

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Solution

The third proportional to 220,818 and 476,628 is: 1,028,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,818 : 476,628 = 476,628 : x
  2. Step 2: Convert to fraction form
    220,818/476,628 = 476,628/x
  3. Step 3: Cross multiply
    220,818x = 476,628 × 476,628
  4. Step 4: Simplify right side
    220,818x = 227,174,250,384
  5. Step 5: Solve for x
    x = 227,174,250,384/220,818
  6. Step 6: Final answer
    x = 1,028,785.02

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