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Finding the Third Proportional to 354,633 and 530,696

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Solution

The third proportional to 354,633 and 530,696 is: 794,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,633 : 530,696 = 530,696 : x
  2. Step 2: Convert to fraction form
    354,633/530,696 = 530,696/x
  3. Step 3: Cross multiply
    354,633x = 530,696 × 530,696
  4. Step 4: Simplify right side
    354,633x = 281,638,244,416
  5. Step 5: Solve for x
    x = 281,638,244,416/354,633
  6. Step 6: Final answer
    x = 794,168.18

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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.