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Finding the Third Proportional to 633,387.09 and 950,912.16

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Solution

The third proportional to 633,387.09 and 950,912.16 is: 1,427,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,387.09 : 950,912.16 = 950,912.16 : x
  2. Step 2: Convert to fraction form
    633,387.09/950,912.16 = 950,912.16/x
  3. Step 3: Cross multiply
    633,387.09x = 950,912.16 × 950,912.16
  4. Step 4: Simplify right side
    633,387.09x = 904,233,928,904.02
  5. Step 5: Solve for x
    x = 904,233,928,904.02/633,387.09
  6. Step 6: Final answer
    x = 1,427,616.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.