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Finding the Third Proportional to 340,724.81 and 716,748.75

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Solution

The third proportional to 340,724.81 and 716,748.75 is: 1,507,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,724.81 : 716,748.75 = 716,748.75 : x
  2. Step 2: Convert to fraction form
    340,724.81/716,748.75 = 716,748.75/x
  3. Step 3: Cross multiply
    340,724.81x = 716,748.75 × 716,748.75
  4. Step 4: Simplify right side
    340,724.81x = 513,728,770,626.56
  5. Step 5: Solve for x
    x = 513,728,770,626.56/340,724.81
  6. Step 6: Final answer
    x = 1,507,752.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.