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Finding the Third Proportional to 224,779.27 and 481,620.30

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Solution

The third proportional to 224,779.27 and 481,620.30 is: 1,031,937.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,779.27 : 481,620.30 = 481,620.30 : x
  2. Step 2: Convert to fraction form
    224,779.27/481,620.30 = 481,620.30/x
  3. Step 3: Cross multiply
    224,779.27x = 481,620.30 × 481,620.30
  4. Step 4: Simplify right side
    224,779.27x = 231,958,117,887.28
  5. Step 5: Solve for x
    x = 231,958,117,887.28/224,779.27
  6. Step 6: Final answer
    x = 1,031,937.32

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Why These Related Problems?

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