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Finding the Third Proportional to 656,322.75 and 984,499.31

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Solution

The third proportional to 656,322.75 and 984,499.31 is: 1,476,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,322.75 : 984,499.31 = 984,499.31 : x
  2. Step 2: Convert to fraction form
    656,322.75/984,499.31 = 984,499.31/x
  3. Step 3: Cross multiply
    656,322.75x = 984,499.31 × 984,499.31
  4. Step 4: Simplify right side
    656,322.75x = 969,238,896,312.97
  5. Step 5: Solve for x
    x = 969,238,896,312.97/656,322.75
  6. Step 6: Final answer
    x = 1,476,771.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.