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Finding the Third Proportional to 225,582.47 and 501,597.56

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Solution

The third proportional to 225,582.47 and 501,597.56 is: 1,115,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,582.47 : 501,597.56 = 501,597.56 : x
  2. Step 2: Convert to fraction form
    225,582.47/501,597.56 = 501,597.56/x
  3. Step 3: Cross multiply
    225,582.47x = 501,597.56 × 501,597.56
  4. Step 4: Simplify right side
    225,582.47x = 251,600,114,705.94
  5. Step 5: Solve for x
    x = 251,600,114,705.94/225,582.47
  6. Step 6: Final answer
    x = 1,115,335.41

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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.