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Finding the Third Proportional to 223,435.13 and 496,521.56

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Solution

The third proportional to 223,435.13 and 496,521.56 is: 1,103,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,435.13 : 496,521.56 = 496,521.56 : x
  2. Step 2: Convert to fraction form
    223,435.13/496,521.56 = 496,521.56/x
  3. Step 3: Cross multiply
    223,435.13x = 496,521.56 × 496,521.56
  4. Step 4: Simplify right side
    223,435.13x = 246,533,662,027.44
  5. Step 5: Solve for x
    x = 246,533,662,027.44/223,435.13
  6. Step 6: Final answer
    x = 1,103,379.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.