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Finding the Third Proportional to 271,650.38 and 590,004

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Solution

The third proportional to 271,650.38 and 590,004 is: 1,281,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,650.38 : 590,004 = 590,004 : x
  2. Step 2: Convert to fraction form
    271,650.38/590,004 = 590,004/x
  3. Step 3: Cross multiply
    271,650.38x = 590,004 × 590,004
  4. Step 4: Simplify right side
    271,650.38x = 348,104,720,016
  5. Step 5: Solve for x
    x = 348,104,720,016/271,650.38
  6. Step 6: Final answer
    x = 1,281,443.91

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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.