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Finding the Third Proportional to 224,785.13 and 481,551.75

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Solution

The third proportional to 224,785.13 and 481,551.75 is: 1,031,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,785.13 : 481,551.75 = 481,551.75 : x
  2. Step 2: Convert to fraction form
    224,785.13/481,551.75 = 481,551.75/x
  3. Step 3: Cross multiply
    224,785.13x = 481,551.75 × 481,551.75
  4. Step 4: Simplify right side
    224,785.13x = 231,892,087,928.06
  5. Step 5: Solve for x
    x = 231,892,087,928.06/224,785.13
  6. Step 6: Final answer
    x = 1,031,616.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.