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Finding the Third Proportional to 218,407 and 475,273

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Solution

The third proportional to 218,407 and 475,273 is: 1,034,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,407 : 475,273 = 475,273 : x
  2. Step 2: Convert to fraction form
    218,407/475,273 = 475,273/x
  3. Step 3: Cross multiply
    218,407x = 475,273 × 475,273
  4. Step 4: Simplify right side
    218,407x = 225,884,424,529
  5. Step 5: Solve for x
    x = 225,884,424,529/218,407
  6. Step 6: Final answer
    x = 1,034,236.19

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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.