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Finding the Third Proportional to 227,059 and 486,706

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Solution

The third proportional to 227,059 and 486,706 is: 1,043,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,059 : 486,706 = 486,706 : x
  2. Step 2: Convert to fraction form
    227,059/486,706 = 486,706/x
  3. Step 3: Cross multiply
    227,059x = 486,706 × 486,706
  4. Step 4: Simplify right side
    227,059x = 236,882,730,436
  5. Step 5: Solve for x
    x = 236,882,730,436/227,059
  6. Step 6: Final answer
    x = 1,043,265.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.