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Finding the Third Proportional to 227,524.50 and 490,528.13

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Solution

The third proportional to 227,524.50 and 490,528.13 is: 1,057,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,524.50 : 490,528.13 = 490,528.13 : x
  2. Step 2: Convert to fraction form
    227,524.50/490,528.13 = 490,528.13/x
  3. Step 3: Cross multiply
    227,524.50x = 490,528.13 × 490,528.13
  4. Step 4: Simplify right side
    227,524.50x = 240,617,841,416.02
  5. Step 5: Solve for x
    x = 240,617,841,416.02/227,524.50
  6. Step 6: Final answer
    x = 1,057,546.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.