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Finding the Third Proportional to 273,466.13 and 596,276.44

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Solution

The third proportional to 273,466.13 and 596,276.44 is: 1,300,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,466.13 : 596,276.44 = 596,276.44 : x
  2. Step 2: Convert to fraction form
    273,466.13/596,276.44 = 596,276.44/x
  3. Step 3: Cross multiply
    273,466.13x = 596,276.44 × 596,276.44
  4. Step 4: Simplify right side
    273,466.13x = 355,545,589,917.69
  5. Step 5: Solve for x
    x = 355,545,589,917.69/273,466.13
  6. Step 6: Final answer
    x = 1,300,144.91

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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.