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Finding the Third Proportional to 241,840.13 and 512,491.50

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Solution

The third proportional to 241,840.13 and 512,491.50 is: 1,086,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,840.13 : 512,491.50 = 512,491.50 : x
  2. Step 2: Convert to fraction form
    241,840.13/512,491.50 = 512,491.50/x
  3. Step 3: Cross multiply
    241,840.13x = 512,491.50 × 512,491.50
  4. Step 4: Simplify right side
    241,840.13x = 262,647,537,572.25
  5. Step 5: Solve for x
    x = 262,647,537,572.25/241,840.13
  6. Step 6: Final answer
    x = 1,086,037.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.