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Finding the Third Proportional to 395,928 and 629,167.50

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Solution

The third proportional to 395,928 and 629,167.50 is: 999,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,928 : 629,167.50 = 629,167.50 : x
  2. Step 2: Convert to fraction form
    395,928/629,167.50 = 629,167.50/x
  3. Step 3: Cross multiply
    395,928x = 629,167.50 × 629,167.50
  4. Step 4: Simplify right side
    395,928x = 395,851,743,056.25
  5. Step 5: Solve for x
    x = 395,851,743,056.25/395,928
  6. Step 6: Final answer
    x = 999,807.40

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.