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Finding the Third Proportional to 225,538 and 497,732

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Solution

The third proportional to 225,538 and 497,732 is: 1,098,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,538 : 497,732 = 497,732 : x
  2. Step 2: Convert to fraction form
    225,538/497,732 = 497,732/x
  3. Step 3: Cross multiply
    225,538x = 497,732 × 497,732
  4. Step 4: Simplify right side
    225,538x = 247,737,143,824
  5. Step 5: Solve for x
    x = 247,737,143,824/225,538
  6. Step 6: Final answer
    x = 1,098,427.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.