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Finding the Third Proportional to 241,096.50 and 523,715.63

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Solution

The third proportional to 241,096.50 and 523,715.63 is: 1,137,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,096.50 : 523,715.63 = 523,715.63 : x
  2. Step 2: Convert to fraction form
    241,096.50/523,715.63 = 523,715.63/x
  3. Step 3: Cross multiply
    241,096.50x = 523,715.63 × 523,715.63
  4. Step 4: Simplify right side
    241,096.50x = 274,278,055,869.14
  5. Step 5: Solve for x
    x = 274,278,055,869.14/241,096.50
  6. Step 6: Final answer
    x = 1,137,627.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.