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Finding the Third Proportional to 218,142 and 475,704

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Solution

The third proportional to 218,142 and 475,704 is: 1,037,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,142 : 475,704 = 475,704 : x
  2. Step 2: Convert to fraction form
    218,142/475,704 = 475,704/x
  3. Step 3: Cross multiply
    218,142x = 475,704 × 475,704
  4. Step 4: Simplify right side
    218,142x = 226,294,295,616
  5. Step 5: Solve for x
    x = 226,294,295,616/218,142
  6. Step 6: Final answer
    x = 1,037,371.51

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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.