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Finding the Third Proportional to 226,274.63 and 495,753.75

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Solution

The third proportional to 226,274.63 and 495,753.75 is: 1,086,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,274.63 : 495,753.75 = 495,753.75 : x
  2. Step 2: Convert to fraction form
    226,274.63/495,753.75 = 495,753.75/x
  3. Step 3: Cross multiply
    226,274.63x = 495,753.75 × 495,753.75
  4. Step 4: Simplify right side
    226,274.63x = 245,771,780,639.06
  5. Step 5: Solve for x
    x = 245,771,780,639.06/226,274.63
  6. Step 6: Final answer
    x = 1,086,165.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.