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Finding the Third Proportional to 382,635 and 553,126

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Solution

The third proportional to 382,635 and 553,126 is: 799,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,635 : 553,126 = 553,126 : x
  2. Step 2: Convert to fraction form
    382,635/553,126 = 553,126/x
  3. Step 3: Cross multiply
    382,635x = 553,126 × 553,126
  4. Step 4: Simplify right side
    382,635x = 305,948,371,876
  5. Step 5: Solve for x
    x = 305,948,371,876/382,635
  6. Step 6: Final answer
    x = 799,582.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.