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Finding the Third Proportional to 212,903 and 466,627

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Solution

The third proportional to 212,903 and 466,627 is: 1,022,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,903 : 466,627 = 466,627 : x
  2. Step 2: Convert to fraction form
    212,903/466,627 = 466,627/x
  3. Step 3: Cross multiply
    212,903x = 466,627 × 466,627
  4. Step 4: Simplify right side
    212,903x = 217,740,757,129
  5. Step 5: Solve for x
    x = 217,740,757,129/212,903
  6. Step 6: Final answer
    x = 1,022,722.82

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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.