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Finding the Third Proportional to 354,668 and 530,751

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Solution

The third proportional to 354,668 and 530,751 is: 794,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,668 : 530,751 = 530,751 : x
  2. Step 2: Convert to fraction form
    354,668/530,751 = 530,751/x
  3. Step 3: Cross multiply
    354,668x = 530,751 × 530,751
  4. Step 4: Simplify right side
    354,668x = 281,696,624,001
  5. Step 5: Solve for x
    x = 281,696,624,001/354,668
  6. Step 6: Final answer
    x = 794,254.41

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