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Finding the Third Proportional to 214,486 and 466,321

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Solution

The third proportional to 214,486 and 466,321 is: 1,013,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,486 : 466,321 = 466,321 : x
  2. Step 2: Convert to fraction form
    214,486/466,321 = 466,321/x
  3. Step 3: Cross multiply
    214,486x = 466,321 × 466,321
  4. Step 4: Simplify right side
    214,486x = 217,455,275,041
  5. Step 5: Solve for x
    x = 217,455,275,041/214,486
  6. Step 6: Final answer
    x = 1,013,843.68

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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.