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Finding the Third Proportional to 354,661 and 530,739

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Solution

The third proportional to 354,661 and 530,739 is: 794,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,661 : 530,739 = 530,739 : x
  2. Step 2: Convert to fraction form
    354,661/530,739 = 530,739/x
  3. Step 3: Cross multiply
    354,661x = 530,739 × 530,739
  4. Step 4: Simplify right side
    354,661x = 281,683,886,121
  5. Step 5: Solve for x
    x = 281,683,886,121/354,661
  6. Step 6: Final answer
    x = 794,234.17

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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.