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Finding the Third Proportional to 218,286 and 475,440

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Solution

The third proportional to 218,286 and 475,440 is: 1,035,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,286 : 475,440 = 475,440 : x
  2. Step 2: Convert to fraction form
    218,286/475,440 = 475,440/x
  3. Step 3: Cross multiply
    218,286x = 475,440 × 475,440
  4. Step 4: Simplify right side
    218,286x = 226,043,193,600
  5. Step 5: Solve for x
    x = 226,043,193,600/218,286
  6. Step 6: Final answer
    x = 1,035,536.84

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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.