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Finding the Third Proportional to 218,845 and 476,033

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Solution

The third proportional to 218,845 and 476,033 is: 1,035,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,845 : 476,033 = 476,033 : x
  2. Step 2: Convert to fraction form
    218,845/476,033 = 476,033/x
  3. Step 3: Cross multiply
    218,845x = 476,033 × 476,033
  4. Step 4: Simplify right side
    218,845x = 226,607,417,089
  5. Step 5: Solve for x
    x = 226,607,417,089/218,845
  6. Step 6: Final answer
    x = 1,035,469.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.