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Finding the Third Proportional to 353,118 and 530,466

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Solution

The third proportional to 353,118 and 530,466 is: 796,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,118 : 530,466 = 530,466 : x
  2. Step 2: Convert to fraction form
    353,118/530,466 = 530,466/x
  3. Step 3: Cross multiply
    353,118x = 530,466 × 530,466
  4. Step 4: Simplify right side
    353,118x = 281,394,177,156
  5. Step 5: Solve for x
    x = 281,394,177,156/353,118
  6. Step 6: Final answer
    x = 796,884.26

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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.