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Finding the Third Proportional to 224,623.13 and 494,434.13

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Solution

The third proportional to 224,623.13 and 494,434.13 is: 1,088,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,623.13 : 494,434.13 = 494,434.13 : x
  2. Step 2: Convert to fraction form
    224,623.13/494,434.13 = 494,434.13/x
  3. Step 3: Cross multiply
    224,623.13x = 494,434.13 × 494,434.13
  4. Step 4: Simplify right side
    224,623.13x = 244,465,103,964.52
  5. Step 5: Solve for x
    x = 244,465,103,964.52/224,623.13
  6. Step 6: Final answer
    x = 1,088,334.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.