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Finding the Third Proportional to 224,717.63 and 481,420.13

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Solution

The third proportional to 224,717.63 and 481,420.13 is: 1,031,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,717.63 : 481,420.13 = 481,420.13 : x
  2. Step 2: Convert to fraction form
    224,717.63/481,420.13 = 481,420.13/x
  3. Step 3: Cross multiply
    224,717.63x = 481,420.13 × 481,420.13
  4. Step 4: Simplify right side
    224,717.63x = 231,765,336,755.02
  5. Step 5: Solve for x
    x = 231,765,336,755.02/224,717.63
  6. Step 6: Final answer
    x = 1,031,362.52

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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.