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Finding the Third Proportional to 218,709 and 476,946

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Solution

The third proportional to 218,709 and 476,946 is: 1,040,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709 : 476,946 = 476,946 : x
  2. Step 2: Convert to fraction form
    218,709/476,946 = 476,946/x
  3. Step 3: Cross multiply
    218,709x = 476,946 × 476,946
  4. Step 4: Simplify right side
    218,709x = 227,477,486,916
  5. Step 5: Solve for x
    x = 227,477,486,916/218,709
  6. Step 6: Final answer
    x = 1,040,092.03

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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.