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Finding the Third Proportional to 395,857 and 597,169.50

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Solution

The third proportional to 395,857 and 597,169.50 is: 900,859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,857 : 597,169.50 = 597,169.50 : x
  2. Step 2: Convert to fraction form
    395,857/597,169.50 = 597,169.50/x
  3. Step 3: Cross multiply
    395,857x = 597,169.50 × 597,169.50
  4. Step 4: Simplify right side
    395,857x = 356,611,411,730.25
  5. Step 5: Solve for x
    x = 356,611,411,730.25/395,857
  6. Step 6: Final answer
    x = 900,859.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.