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Finding the Third Proportional to 225,996 and 501,556

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Solution

The third proportional to 225,996 and 501,556 is: 1,113,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,996 : 501,556 = 501,556 : x
  2. Step 2: Convert to fraction form
    225,996/501,556 = 501,556/x
  3. Step 3: Cross multiply
    225,996x = 501,556 × 501,556
  4. Step 4: Simplify right side
    225,996x = 251,558,421,136
  5. Step 5: Solve for x
    x = 251,558,421,136/225,996
  6. Step 6: Final answer
    x = 1,113,110.06

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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.