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Finding the Third Proportional to 218,151 and 475,722

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Solution

The third proportional to 218,151 and 475,722 is: 1,037,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,151 : 475,722 = 475,722 : x
  2. Step 2: Convert to fraction form
    218,151/475,722 = 475,722/x
  3. Step 3: Cross multiply
    218,151x = 475,722 × 475,722
  4. Step 4: Simplify right side
    218,151x = 226,311,421,284
  5. Step 5: Solve for x
    x = 226,311,421,284/218,151
  6. Step 6: Final answer
    x = 1,037,407.21

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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.