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Finding the Third Proportional to 214,479 and 466,308

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Solution

The third proportional to 214,479 and 466,308 is: 1,013,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,479 : 466,308 = 466,308 : x
  2. Step 2: Convert to fraction form
    214,479/466,308 = 466,308/x
  3. Step 3: Cross multiply
    214,479x = 466,308 × 466,308
  4. Step 4: Simplify right side
    214,479x = 217,443,150,864
  5. Step 5: Solve for x
    x = 217,443,150,864/214,479
  6. Step 6: Final answer
    x = 1,013,820.24

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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.