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Finding the Third Proportional to 415,211.50 and 897,005

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Solution

The third proportional to 415,211.50 and 897,005 is: 1,937,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,211.50 : 897,005 = 897,005 : x
  2. Step 2: Convert to fraction form
    415,211.50/897,005 = 897,005/x
  3. Step 3: Cross multiply
    415,211.50x = 897,005 × 897,005
  4. Step 4: Simplify right side
    415,211.50x = 804,617,970,025
  5. Step 5: Solve for x
    x = 804,617,970,025/415,211.50
  6. Step 6: Final answer
    x = 1,937,850.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.