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Finding the Third Proportional to 225,612 and 481,248

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Solution

The third proportional to 225,612 and 481,248 is: 1,026,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,612 : 481,248 = 481,248 : x
  2. Step 2: Convert to fraction form
    225,612/481,248 = 481,248/x
  3. Step 3: Cross multiply
    225,612x = 481,248 × 481,248
  4. Step 4: Simplify right side
    225,612x = 231,599,637,504
  5. Step 5: Solve for x
    x = 231,599,637,504/225,612
  6. Step 6: Final answer
    x = 1,026,539.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.