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Finding the Third Proportional to 412,733 and 617,201

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Solution

The third proportional to 412,733 and 617,201 is: 922,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,733 : 617,201 = 617,201 : x
  2. Step 2: Convert to fraction form
    412,733/617,201 = 617,201/x
  3. Step 3: Cross multiply
    412,733x = 617,201 × 617,201
  4. Step 4: Simplify right side
    412,733x = 380,937,074,401
  5. Step 5: Solve for x
    x = 380,937,074,401/412,733
  6. Step 6: Final answer
    x = 922,962.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.