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Finding the Third Proportional to 228,624 and 356,019

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Solution

The third proportional to 228,624 and 356,019 is: 554,401.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,624 : 356,019 = 356,019 : x
  2. Step 2: Convert to fraction form
    228,624/356,019 = 356,019/x
  3. Step 3: Cross multiply
    228,624x = 356,019 × 356,019
  4. Step 4: Simplify right side
    228,624x = 126,749,528,361
  5. Step 5: Solve for x
    x = 126,749,528,361/228,624
  6. Step 6: Final answer
    x = 554,401.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.