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Finding the Third Proportional to 225,582.75 and 501,600.38

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Solution

The third proportional to 225,582.75 and 501,600.38 is: 1,115,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,582.75 : 501,600.38 = 501,600.38 : x
  2. Step 2: Convert to fraction form
    225,582.75/501,600.38 = 501,600.38/x
  3. Step 3: Cross multiply
    225,582.75x = 501,600.38 × 501,600.38
  4. Step 4: Simplify right side
    225,582.75x = 251,602,936,200.14
  5. Step 5: Solve for x
    x = 251,602,936,200.14/225,582.75
  6. Step 6: Final answer
    x = 1,115,346.52

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