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Finding the Third Proportional to 243,686.81 and 543,404.81

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Solution

The third proportional to 243,686.81 and 543,404.81 is: 1,211,755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,686.81 : 543,404.81 = 543,404.81 : x
  2. Step 2: Convert to fraction form
    243,686.81/543,404.81 = 543,404.81/x
  3. Step 3: Cross multiply
    243,686.81x = 543,404.81 × 543,404.81
  4. Step 4: Simplify right side
    243,686.81x = 295,288,790,248.16
  5. Step 5: Solve for x
    x = 295,288,790,248.16/243,686.81
  6. Step 6: Final answer
    x = 1,211,755.32

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Why These Related Problems?

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