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Finding the Third Proportional to 236,398 and 354,764

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Solution

The third proportional to 236,398 and 354,764 is: 532,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,398 : 354,764 = 354,764 : x
  2. Step 2: Convert to fraction form
    236,398/354,764 = 354,764/x
  3. Step 3: Cross multiply
    236,398x = 354,764 × 354,764
  4. Step 4: Simplify right side
    236,398x = 125,857,495,696
  5. Step 5: Solve for x
    x = 125,857,495,696/236,398
  6. Step 6: Final answer
    x = 532,396.62

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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.