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Finding the Third Proportional to 214,382 and 466,860

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Solution

The third proportional to 214,382 and 466,860 is: 1,016,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,382 : 466,860 = 466,860 : x
  2. Step 2: Convert to fraction form
    214,382/466,860 = 466,860/x
  3. Step 3: Cross multiply
    214,382x = 466,860 × 466,860
  4. Step 4: Simplify right side
    214,382x = 217,958,259,600
  5. Step 5: Solve for x
    x = 217,958,259,600/214,382
  6. Step 6: Final answer
    x = 1,016,681.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.