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Finding the Third Proportional to 225,614 and 481,252

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Solution

The third proportional to 225,614 and 481,252 is: 1,026,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,614 : 481,252 = 481,252 : x
  2. Step 2: Convert to fraction form
    225,614/481,252 = 481,252/x
  3. Step 3: Cross multiply
    225,614x = 481,252 × 481,252
  4. Step 4: Simplify right side
    225,614x = 231,603,487,504
  5. Step 5: Solve for x
    x = 231,603,487,504/225,614
  6. Step 6: Final answer
    x = 1,026,547.50

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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.