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Finding the Third Proportional to 269,615.25 and 412,603.88

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Solution

The third proportional to 269,615.25 and 412,603.88 is: 631,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,615.25 : 412,603.88 = 412,603.88 : x
  2. Step 2: Convert to fraction form
    269,615.25/412,603.88 = 412,603.88/x
  3. Step 3: Cross multiply
    269,615.25x = 412,603.88 × 412,603.88
  4. Step 4: Simplify right side
    269,615.25x = 170,241,957,665.02
  5. Step 5: Solve for x
    x = 170,241,957,665.02/269,615.25
  6. Step 6: Final answer
    x = 631,425.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.