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Finding the Third Proportional to 406,437.75 and 941,189.25

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Solution

The third proportional to 406,437.75 and 941,189.25 is: 2,179,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,437.75 : 941,189.25 = 941,189.25 : x
  2. Step 2: Convert to fraction form
    406,437.75/941,189.25 = 941,189.25/x
  3. Step 3: Cross multiply
    406,437.75x = 941,189.25 × 941,189.25
  4. Step 4: Simplify right side
    406,437.75x = 885,837,204,315.56
  5. Step 5: Solve for x
    x = 885,837,204,315.56/406,437.75
  6. Step 6: Final answer
    x = 2,179,515.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.