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Finding the Third Proportional to 218,296 and 477,169

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Solution

The third proportional to 218,296 and 477,169 is: 1,043,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,296 : 477,169 = 477,169 : x
  2. Step 2: Convert to fraction form
    218,296/477,169 = 477,169/x
  3. Step 3: Cross multiply
    218,296x = 477,169 × 477,169
  4. Step 4: Simplify right side
    218,296x = 227,690,254,561
  5. Step 5: Solve for x
    x = 227,690,254,561/218,296
  6. Step 6: Final answer
    x = 1,043,034.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.