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Finding the Third Proportional to 214,833 and 447,312

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Solution

The third proportional to 214,833 and 447,312 is: 931,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,833 : 447,312 = 447,312 : x
  2. Step 2: Convert to fraction form
    214,833/447,312 = 447,312/x
  3. Step 3: Cross multiply
    214,833x = 447,312 × 447,312
  4. Step 4: Simplify right side
    214,833x = 200,088,025,344
  5. Step 5: Solve for x
    x = 200,088,025,344/214,833
  6. Step 6: Final answer
    x = 931,365.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.