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Finding the Third Proportional to 433,193 and 950,083

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Solution

The third proportional to 433,193 and 950,083 is: 2,083,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,193 : 950,083 = 950,083 : x
  2. Step 2: Convert to fraction form
    433,193/950,083 = 950,083/x
  3. Step 3: Cross multiply
    433,193x = 950,083 × 950,083
  4. Step 4: Simplify right side
    433,193x = 902,657,706,889
  5. Step 5: Solve for x
    x = 902,657,706,889/433,193
  6. Step 6: Final answer
    x = 2,083,731.05

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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.