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Finding the Third Proportional to 722,742.75 and 950,631.19

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Solution

The third proportional to 722,742.75 and 950,631.19 is: 1,250,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,742.75 : 950,631.19 = 950,631.19 : x
  2. Step 2: Convert to fraction form
    722,742.75/950,631.19 = 950,631.19/x
  3. Step 3: Cross multiply
    722,742.75x = 950,631.19 × 950,631.19
  4. Step 4: Simplify right side
    722,742.75x = 903,699,654,647.66
  5. Step 5: Solve for x
    x = 903,699,654,647.66/722,742.75
  6. Step 6: Final answer
    x = 1,250,375.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.