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Finding the Third Proportional to 361,981.50 and 541,059

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Solution

The third proportional to 361,981.50 and 541,059 is: 808,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,981.50 : 541,059 = 541,059 : x
  2. Step 2: Convert to fraction form
    361,981.50/541,059 = 541,059/x
  3. Step 3: Cross multiply
    361,981.50x = 541,059 × 541,059
  4. Step 4: Simplify right side
    361,981.50x = 292,744,841,481
  5. Step 5: Solve for x
    x = 292,744,841,481/361,981.50
  6. Step 6: Final answer
    x = 808,728.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.