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Finding the Third Proportional to 335,917.13 and 513,636.19

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Solution

The third proportional to 335,917.13 and 513,636.19 is: 785,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,917.13 : 513,636.19 = 513,636.19 : x
  2. Step 2: Convert to fraction form
    335,917.13/513,636.19 = 513,636.19/x
  3. Step 3: Cross multiply
    335,917.13x = 513,636.19 × 513,636.19
  4. Step 4: Simplify right side
    335,917.13x = 263,822,133,109.54
  5. Step 5: Solve for x
    x = 263,822,133,109.54/335,917.13
  6. Step 6: Final answer
    x = 785,378.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.