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Finding the Third Proportional to 225,621 and 501,673

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Solution

The third proportional to 225,621 and 501,673 is: 1,115,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,621 : 501,673 = 501,673 : x
  2. Step 2: Convert to fraction form
    225,621/501,673 = 501,673/x
  3. Step 3: Cross multiply
    225,621x = 501,673 × 501,673
  4. Step 4: Simplify right side
    225,621x = 251,675,798,929
  5. Step 5: Solve for x
    x = 251,675,798,929/225,621
  6. Step 6: Final answer
    x = 1,115,480.38

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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.