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Finding the Third Proportional to 355,843.13 and 509,662.13

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Solution

The third proportional to 355,843.13 and 509,662.13 is: 729,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,843.13 : 509,662.13 = 509,662.13 : x
  2. Step 2: Convert to fraction form
    355,843.13/509,662.13 = 509,662.13/x
  3. Step 3: Cross multiply
    355,843.13x = 509,662.13 × 509,662.13
  4. Step 4: Simplify right side
    355,843.13x = 259,755,481,659.52
  5. Step 5: Solve for x
    x = 259,755,481,659.52/355,843.13
  6. Step 6: Final answer
    x = 729,971.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.