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Finding the Third Proportional to 343,431.14 and 755,373.09

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Solution

The third proportional to 343,431.14 and 755,373.09 is: 1,661,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,431.14 : 755,373.09 = 755,373.09 : x
  2. Step 2: Convert to fraction form
    343,431.14/755,373.09 = 755,373.09/x
  3. Step 3: Cross multiply
    343,431.14x = 755,373.09 × 755,373.09
  4. Step 4: Simplify right side
    343,431.14x = 570,588,510,761.45
  5. Step 5: Solve for x
    x = 570,588,510,761.45/343,431.14
  6. Step 6: Final answer
    x = 1,661,434.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.