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Finding the Third Proportional to 261,536.50 and 404,134

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Solution

The third proportional to 261,536.50 and 404,134 is: 624,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,536.50 : 404,134 = 404,134 : x
  2. Step 2: Convert to fraction form
    261,536.50/404,134 = 404,134/x
  3. Step 3: Cross multiply
    261,536.50x = 404,134 × 404,134
  4. Step 4: Simplify right side
    261,536.50x = 163,324,289,956
  5. Step 5: Solve for x
    x = 163,324,289,956/261,536.50
  6. Step 6: Final answer
    x = 624,479.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.