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Finding the Third Proportional to 225,576.54 and 501,588.07

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Solution

The third proportional to 225,576.54 and 501,588.07 is: 1,115,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,576.54 : 501,588.07 = 501,588.07 : x
  2. Step 2: Convert to fraction form
    225,576.54/501,588.07 = 501,588.07/x
  3. Step 3: Cross multiply
    225,576.54x = 501,588.07 × 501,588.07
  4. Step 4: Simplify right side
    225,576.54x = 251,590,592,279.82
  5. Step 5: Solve for x
    x = 251,590,592,279.82/225,576.54
  6. Step 6: Final answer
    x = 1,115,322.53

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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.