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Finding the Third Proportional to 340,660.13 and 739,274.06

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Solution

The third proportional to 340,660.13 and 739,274.06 is: 1,604,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,660.13 : 739,274.06 = 739,274.06 : x
  2. Step 2: Convert to fraction form
    340,660.13/739,274.06 = 739,274.06/x
  3. Step 3: Cross multiply
    340,660.13x = 739,274.06 × 739,274.06
  4. Step 4: Simplify right side
    340,660.13x = 546,526,139,485.25
  5. Step 5: Solve for x
    x = 546,526,139,485.25/340,660.13
  6. Step 6: Final answer
    x = 1,604,314.97

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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.