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Finding the Third Proportional to 246,940.21 and 538,748.09

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Solution

The third proportional to 246,940.21 and 538,748.09 is: 1,175,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,940.21 : 538,748.09 = 538,748.09 : x
  2. Step 2: Convert to fraction form
    246,940.21/538,748.09 = 538,748.09/x
  3. Step 3: Cross multiply
    246,940.21x = 538,748.09 × 538,748.09
  4. Step 4: Simplify right side
    246,940.21x = 290,249,500,101.32
  5. Step 5: Solve for x
    x = 290,249,500,101.32/246,940.21
  6. Step 6: Final answer
    x = 1,175,383.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.