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Finding the Third Proportional to 363,755 and 550,664

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Solution

The third proportional to 363,755 and 550,664 is: 833,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,755 : 550,664 = 550,664 : x
  2. Step 2: Convert to fraction form
    363,755/550,664 = 550,664/x
  3. Step 3: Cross multiply
    363,755x = 550,664 × 550,664
  4. Step 4: Simplify right side
    363,755x = 303,230,840,896
  5. Step 5: Solve for x
    x = 303,230,840,896/363,755
  6. Step 6: Final answer
    x = 833,612.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.