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Finding the Third Proportional to 406,290.94 and 543,550.50

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Solution

The third proportional to 406,290.94 and 543,550.50 is: 727,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,290.94 : 543,550.50 = 543,550.50 : x
  2. Step 2: Convert to fraction form
    406,290.94/543,550.50 = 543,550.50/x
  3. Step 3: Cross multiply
    406,290.94x = 543,550.50 × 543,550.50
  4. Step 4: Simplify right side
    406,290.94x = 295,447,146,050.25
  5. Step 5: Solve for x
    x = 295,447,146,050.25/406,290.94
  6. Step 6: Final answer
    x = 727,181.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.