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Finding the Third Proportional to 214,634.81 and 466,144.88

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Solution

The third proportional to 214,634.81 and 466,144.88 is: 1,012,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,634.81 : 466,144.88 = 466,144.88 : x
  2. Step 2: Convert to fraction form
    214,634.81/466,144.88 = 466,144.88/x
  3. Step 3: Cross multiply
    214,634.81x = 466,144.88 × 466,144.88
  4. Step 4: Simplify right side
    214,634.81x = 217,291,044,488.77
  5. Step 5: Solve for x
    x = 217,291,044,488.77/214,634.81
  6. Step 6: Final answer
    x = 1,012,375.59

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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.