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Finding the Third Proportional to 385,997 and 850,523.50

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Solution

The third proportional to 385,997 and 850,523.50 is: 1,874,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,997 : 850,523.50 = 850,523.50 : x
  2. Step 2: Convert to fraction form
    385,997/850,523.50 = 850,523.50/x
  3. Step 3: Cross multiply
    385,997x = 850,523.50 × 850,523.50
  4. Step 4: Simplify right side
    385,997x = 723,390,224,052.25
  5. Step 5: Solve for x
    x = 723,390,224,052.25/385,997
  6. Step 6: Final answer
    x = 1,874,082.50

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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.