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Finding the Third Proportional to 395,119.50 and 839,437.50

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Solution

The third proportional to 395,119.50 and 839,437.50 is: 1,783,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,119.50 : 839,437.50 = 839,437.50 : x
  2. Step 2: Convert to fraction form
    395,119.50/839,437.50 = 839,437.50/x
  3. Step 3: Cross multiply
    395,119.50x = 839,437.50 × 839,437.50
  4. Step 4: Simplify right side
    395,119.50x = 704,655,316,406.25
  5. Step 5: Solve for x
    x = 704,655,316,406.25/395,119.50
  6. Step 6: Final answer
    x = 1,783,397.98

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.