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Finding the Third Proportional to 409,583.50 and 897,899

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Solution

The third proportional to 409,583.50 and 897,899 is: 1,968,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,583.50 : 897,899 = 897,899 : x
  2. Step 2: Convert to fraction form
    409,583.50/897,899 = 897,899/x
  3. Step 3: Cross multiply
    409,583.50x = 897,899 × 897,899
  4. Step 4: Simplify right side
    409,583.50x = 806,222,614,201
  5. Step 5: Solve for x
    x = 806,222,614,201/409,583.50
  6. Step 6: Final answer
    x = 1,968,396.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.