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Finding the Third Proportional to 344,064.94 and 809,517.94

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Solution

The third proportional to 344,064.94 and 809,517.94 is: 1,904,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,064.94 : 809,517.94 = 809,517.94 : x
  2. Step 2: Convert to fraction form
    344,064.94/809,517.94 = 809,517.94/x
  3. Step 3: Cross multiply
    344,064.94x = 809,517.94 × 809,517.94
  4. Step 4: Simplify right side
    344,064.94x = 655,319,291,134.25
  5. Step 5: Solve for x
    x = 655,319,291,134.25/344,064.94
  6. Step 6: Final answer
    x = 1,904,638.40

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.