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Finding the Third Proportional to 226,323.75 and 494,686.50

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Solution

The third proportional to 226,323.75 and 494,686.50 is: 1,081,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,323.75 : 494,686.50 = 494,686.50 : x
  2. Step 2: Convert to fraction form
    226,323.75/494,686.50 = 494,686.50/x
  3. Step 3: Cross multiply
    226,323.75x = 494,686.50 × 494,686.50
  4. Step 4: Simplify right side
    226,323.75x = 244,714,733,282.25
  5. Step 5: Solve for x
    x = 244,714,733,282.25/226,323.75
  6. Step 6: Final answer
    x = 1,081,259.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.