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Finding the Third Proportional to 220,902 and 476,693

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Solution

The third proportional to 220,902 and 476,693 is: 1,028,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,902 : 476,693 = 476,693 : x
  2. Step 2: Convert to fraction form
    220,902/476,693 = 476,693/x
  3. Step 3: Cross multiply
    220,902x = 476,693 × 476,693
  4. Step 4: Simplify right side
    220,902x = 227,236,216,249
  5. Step 5: Solve for x
    x = 227,236,216,249/220,902
  6. Step 6: Final answer
    x = 1,028,674.33

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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.