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Finding the Third Proportional to 227,086.50 and 492,810

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Solution

The third proportional to 227,086.50 and 492,810 is: 1,069,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,086.50 : 492,810 = 492,810 : x
  2. Step 2: Convert to fraction form
    227,086.50/492,810 = 492,810/x
  3. Step 3: Cross multiply
    227,086.50x = 492,810 × 492,810
  4. Step 4: Simplify right side
    227,086.50x = 242,861,696,100
  5. Step 5: Solve for x
    x = 242,861,696,100/227,086.50
  6. Step 6: Final answer
    x = 1,069,467.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.