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Finding the Third Proportional to 354,431.25 and 777,756.38

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Solution

The third proportional to 354,431.25 and 777,756.38 is: 1,706,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,431.25 : 777,756.38 = 777,756.38 : x
  2. Step 2: Convert to fraction form
    354,431.25/777,756.38 = 777,756.38/x
  3. Step 3: Cross multiply
    354,431.25x = 777,756.38 × 777,756.38
  4. Step 4: Simplify right side
    354,431.25x = 604,904,978,853.14
  5. Step 5: Solve for x
    x = 604,904,978,853.14/354,431.25
  6. Step 6: Final answer
    x = 1,706,692.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.