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Finding the Third Proportional to 385,985.25 and 850,500

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Solution

The third proportional to 385,985.25 and 850,500 is: 1,874,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,985.25 : 850,500 = 850,500 : x
  2. Step 2: Convert to fraction form
    385,985.25/850,500 = 850,500/x
  3. Step 3: Cross multiply
    385,985.25x = 850,500 × 850,500
  4. Step 4: Simplify right side
    385,985.25x = 723,350,250,000
  5. Step 5: Solve for x
    x = 723,350,250,000/385,985.25
  6. Step 6: Final answer
    x = 1,874,035.99

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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.