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Finding the Third Proportional to 451,698 and 602,193

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Solution

The third proportional to 451,698 and 602,193 is: 802,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,698 : 602,193 = 602,193 : x
  2. Step 2: Convert to fraction form
    451,698/602,193 = 602,193/x
  3. Step 3: Cross multiply
    451,698x = 602,193 × 602,193
  4. Step 4: Simplify right side
    451,698x = 362,636,409,249
  5. Step 5: Solve for x
    x = 362,636,409,249/451,698
  6. Step 6: Final answer
    x = 802,829.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.