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Finding the Third Proportional to 227,596 and 344,538

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Solution

The third proportional to 227,596 and 344,538 is: 521,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,596 : 344,538 = 344,538 : x
  2. Step 2: Convert to fraction form
    227,596/344,538 = 344,538/x
  3. Step 3: Cross multiply
    227,596x = 344,538 × 344,538
  4. Step 4: Simplify right side
    227,596x = 118,706,433,444
  5. Step 5: Solve for x
    x = 118,706,433,444/227,596
  6. Step 6: Final answer
    x = 521,566.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.