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Finding the Third Proportional to 214,860 and 447,362

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Solution

The third proportional to 214,860 and 447,362 is: 931,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,860 : 447,362 = 447,362 : x
  2. Step 2: Convert to fraction form
    214,860/447,362 = 447,362/x
  3. Step 3: Cross multiply
    214,860x = 447,362 × 447,362
  4. Step 4: Simplify right side
    214,860x = 200,132,759,044
  5. Step 5: Solve for x
    x = 200,132,759,044/214,860
  6. Step 6: Final answer
    x = 931,456.57

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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.