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Finding the Third Proportional to 214,664 and 466,201

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Solution

The third proportional to 214,664 and 466,201 is: 1,012,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,664 : 466,201 = 466,201 : x
  2. Step 2: Convert to fraction form
    214,664/466,201 = 466,201/x
  3. Step 3: Cross multiply
    214,664x = 466,201 × 466,201
  4. Step 4: Simplify right side
    214,664x = 217,343,372,401
  5. Step 5: Solve for x
    x = 217,343,372,401/214,664
  6. Step 6: Final answer
    x = 1,012,481.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.