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Finding the Third Proportional to 358,571.81 and 772,471.69

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Solution

The third proportional to 358,571.81 and 772,471.69 is: 1,664,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,571.81 : 772,471.69 = 772,471.69 : x
  2. Step 2: Convert to fraction form
    358,571.81/772,471.69 = 772,471.69/x
  3. Step 3: Cross multiply
    358,571.81x = 772,471.69 × 772,471.69
  4. Step 4: Simplify right side
    358,571.81x = 596,712,507,989.10
  5. Step 5: Solve for x
    x = 596,712,507,989.10/358,571.81
  6. Step 6: Final answer
    x = 1,664,136.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.