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Finding the Third Proportional to 658,408.50 and 962,523

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Solution

The third proportional to 658,408.50 and 962,523 is: 1,407,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,408.50 : 962,523 = 962,523 : x
  2. Step 2: Convert to fraction form
    658,408.50/962,523 = 962,523/x
  3. Step 3: Cross multiply
    658,408.50x = 962,523 × 962,523
  4. Step 4: Simplify right side
    658,408.50x = 926,450,525,529
  5. Step 5: Solve for x
    x = 926,450,525,529/658,408.50
  6. Step 6: Final answer
    x = 1,407,105.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.