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Finding the Third Proportional to 227,324 and 478,611

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Solution

The third proportional to 227,324 and 478,611 is: 1,007,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,324 : 478,611 = 478,611 : x
  2. Step 2: Convert to fraction form
    227,324/478,611 = 478,611/x
  3. Step 3: Cross multiply
    227,324x = 478,611 × 478,611
  4. Step 4: Simplify right side
    227,324x = 229,068,489,321
  5. Step 5: Solve for x
    x = 229,068,489,321/227,324
  6. Step 6: Final answer
    x = 1,007,674.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.