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Finding the Third Proportional to 309,609.56 and 435,998.25

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Solution

The third proportional to 309,609.56 and 435,998.25 is: 613,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,609.56 : 435,998.25 = 435,998.25 : x
  2. Step 2: Convert to fraction form
    309,609.56/435,998.25 = 435,998.25/x
  3. Step 3: Cross multiply
    309,609.56x = 435,998.25 × 435,998.25
  4. Step 4: Simplify right side
    309,609.56x = 190,094,474,003.06
  5. Step 5: Solve for x
    x = 190,094,474,003.06/309,609.56
  6. Step 6: Final answer
    x = 613,981.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.