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Finding the Third Proportional to 243,684.13 and 543,399.13

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Solution

The third proportional to 243,684.13 and 543,399.13 is: 1,211,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,684.13 : 543,399.13 = 543,399.13 : x
  2. Step 2: Convert to fraction form
    243,684.13/543,399.13 = 543,399.13/x
  3. Step 3: Cross multiply
    243,684.13x = 543,399.13 × 543,399.13
  4. Step 4: Simplify right side
    243,684.13x = 295,282,609,050.77
  5. Step 5: Solve for x
    x = 295,282,609,050.77/243,684.13
  6. Step 6: Final answer
    x = 1,211,743.31

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.