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Finding the Third Proportional to 225,519 and 524,412

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Solution

The third proportional to 225,519 and 524,412 is: 1,219,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,519 : 524,412 = 524,412 : x
  2. Step 2: Convert to fraction form
    225,519/524,412 = 524,412/x
  3. Step 3: Cross multiply
    225,519x = 524,412 × 524,412
  4. Step 4: Simplify right side
    225,519x = 275,007,945,744
  5. Step 5: Solve for x
    x = 275,007,945,744/225,519
  6. Step 6: Final answer
    x = 1,219,444.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.