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Finding the Third Proportional to 351,713.81 and 715,857.75

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Solution

The third proportional to 351,713.81 and 715,857.75 is: 1,457,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,713.81 : 715,857.75 = 715,857.75 : x
  2. Step 2: Convert to fraction form
    351,713.81/715,857.75 = 715,857.75/x
  3. Step 3: Cross multiply
    351,713.81x = 715,857.75 × 715,857.75
  4. Step 4: Simplify right side
    351,713.81x = 512,452,318,235.06
  5. Step 5: Solve for x
    x = 512,452,318,235.06/351,713.81
  6. Step 6: Final answer
    x = 1,457,015.05

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.