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Finding the Third Proportional to 541,624 and 757,201

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Solution

The third proportional to 541,624 and 757,201 is: 1,058,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,624 : 757,201 = 757,201 : x
  2. Step 2: Convert to fraction form
    541,624/757,201 = 757,201/x
  3. Step 3: Cross multiply
    541,624x = 757,201 × 757,201
  4. Step 4: Simplify right side
    541,624x = 573,353,354,401
  5. Step 5: Solve for x
    x = 573,353,354,401/541,624
  6. Step 6: Final answer
    x = 1,058,581.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.